Divide Multi-Digit Numbers - 4th Grade Math
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What is the quotient and remainder of $324 \div 3$?
What is the quotient and remainder of $324 \div 3$?
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$108\ \text{R}\ 0$. $324$ divides evenly by $3$ with no remainder.
$108\ \text{R}\ 0$. $324$ divides evenly by $3$ with no remainder.
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What is the quotient and remainder of $2{,}304 \div 6$?
What is the quotient and remainder of $2{,}304 \div 6$?
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$384$ remainder $0$. $2304 = 6 \times 384 + 0$, divides evenly with no remainder.
$384$ remainder $0$. $2304 = 6 \times 384 + 0$, divides evenly with no remainder.
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What is the quotient and remainder of $2{,}015 \div 3$?
What is the quotient and remainder of $2{,}015 \div 3$?
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$671$ remainder $2$. $2015 = 3 \times 671 + 2$, so quotient is $671$ with remainder $2$.
$671$ remainder $2$. $2015 = 3 \times 671 + 2$, so quotient is $671$ with remainder $2$.
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What is the quotient and remainder of $1{,}444 \div 8$?
What is the quotient and remainder of $1{,}444 \div 8$?
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$180$ remainder $4$. $1444 = 8 \times 180 + 4$, so quotient is $180$ with remainder $4$.
$180$ remainder $4$. $1444 = 8 \times 180 + 4$, so quotient is $180$ with remainder $4$.
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What is $3{,}600 \div 9$?
What is $3{,}600 \div 9$?
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$400$. $36$ hundreds divided by $9$ equals $4$ hundreds.
$400$. $36$ hundreds divided by $9$ equals $4$ hundreds.
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What is $6{,}000 \div 6$?
What is $6{,}000 \div 6$?
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$1{,}000$. $6$ thousands divided by $6$ equals $1$ thousand.
$1{,}000$. $6$ thousands divided by $6$ equals $1$ thousand.
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What is the missing quotient $q$ in $1{,}152 = 8q + 0$?
What is the missing quotient $q$ in $1{,}152 = 8q + 0$?
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$144$. $q = 1152 \div 8 = 144$ since remainder is $0$.
$144$. $q = 1152 \div 8 = 144$ since remainder is $0$.
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Which option is a valid remainder when dividing by $7$: $0$, $7$, or $9$?
Which option is a valid remainder when dividing by $7$: $0$, $7$, or $9$?
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$0$. Only $0$ is valid; remainders must be less than divisor $7$.
$0$. Only $0$ is valid; remainders must be less than divisor $7$.
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What is the missing remainder $r$ in $256 = 9 \times 28 + r$?
What is the missing remainder $r$ in $256 = 9 \times 28 + r$?
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$4$. $9 \times 28 = 252$, so $r = 256 - 252 = 4$.
$4$. $9 \times 28 = 252$, so $r = 256 - 252 = 4$.
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Identify the missing number: $6 \times 47 + 5 = \square$.
Identify the missing number: $6 \times 47 + 5 = \square$.
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$287$. $6 \times 47 = 282$, then $282 + 5 = 287$.
$287$. $6 \times 47 = 282$, then $282 + 5 = 287$.
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What equation checks that quotient $q$ and remainder $r$ are correct for $a \div b$?
What equation checks that quotient $q$ and remainder $r$ are correct for $a \div b$?
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$a = bq + r$, with $0 \le r < b$. Division algorithm: dividend equals divisor times quotient plus remainder.
$a = bq + r$, with $0 \le r < b$. Division algorithm: dividend equals divisor times quotient plus remainder.
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What must be true about the remainder $r$ when dividing by a one-digit divisor $b$?
What must be true about the remainder $r$ when dividing by a one-digit divisor $b$?
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$0 \le r < b$. Remainder must be non-negative and less than the divisor.
$0 \le r < b$. Remainder must be non-negative and less than the divisor.
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What is the quotient and remainder of $73 \div 6$?
What is the quotient and remainder of $73 \div 6$?
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$12$ remainder $1$. $73 = 6 \times 12 + 1$, so quotient is $12$ with remainder $1$.
$12$ remainder $1$. $73 = 6 \times 12 + 1$, so quotient is $12$ with remainder $1$.
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What is the quotient and remainder of $458 \div 7$?
What is the quotient and remainder of $458 \div 7$?
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$65$ remainder $3$. $458 = 7 \times 65 + 3$, so quotient is $65$ with remainder $3$.
$65$ remainder $3$. $458 = 7 \times 65 + 3$, so quotient is $65$ with remainder $3$.
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What is the quotient and remainder of $905 \div 8$?
What is the quotient and remainder of $905 \div 8$?
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$113$ remainder $1$. $905 = 8 \times 113 + 1$, so quotient is $113$ with remainder $1$.
$113$ remainder $1$. $905 = 8 \times 113 + 1$, so quotient is $113$ with remainder $1$.
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What is the quotient and remainder of $2{,}052 \div 6$?
What is the quotient and remainder of $2{,}052 \div 6$?
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$342$ remainder $0$. $2052 = 6 \times 342$ with no remainder.
$342$ remainder $0$. $2052 = 6 \times 342$ with no remainder.
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What must be true about the remainder $r$ in $n \div d = q$ remainder $r$?
What must be true about the remainder $r$ in $n \div d = q$ remainder $r$?
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$0 \le r < d$. The remainder must be non-negative and less than the divisor.
$0 \le r < d$. The remainder must be non-negative and less than the divisor.
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What is the missing remainder in $6 \times 23 + r = 140$ for $140 \div 6$?
What is the missing remainder in $6 \times 23 + r = 140$ for $140 \div 6$?
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$r = 2$. $6 \times 23 = 138$, so $r = 140 - 138 = 2$.
$r = 2$. $6 \times 23 = 138$, so $r = 140 - 138 = 2$.
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Which option is a correct check for $728 \div 9 = 80$ remainder $8$?
Which option is a correct check for $728 \div 9 = 80$ remainder $8$?
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$9 \times 80 + 8 = 728$. Verifies by multiplying divisor times quotient plus remainder.
$9 \times 80 + 8 = 728$. Verifies by multiplying divisor times quotient plus remainder.
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What is the quotient and remainder of $1{,}006 \div 3$?
What is the quotient and remainder of $1{,}006 \div 3$?
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$335$ remainder $1$. $1006 = 3 \times 335 + 1$, leaving remainder $1$.
$335$ remainder $1$. $1006 = 3 \times 335 + 1$, leaving remainder $1$.
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