Divide a 4-digit number by a 1-digit number

Division of a whole number from 1,000 through 9,999 by a one-digit divisor is understood as decomposing the dividend by place value into equal groups, using partial quotients or the standard algorithm to determine each quotient digit. The quotient may include zero in an intermediate place, and a remainder must be less than the divisor; results can be checked with divisor × quotient + remainder = dividend. This scope excludes decimal quotients, multi-digit divisors, and more advanced generalizations.

Detailed Explanation: Divide a 4-digit number by a 1-digit number

To divide a 4-digit number by a 1-digit number, divide one place-value digit at a time, starting on the left. Write each answer digit above the matching place.

Example: Find $4{,}032 \div 4$ .

Divide the thousands digit: $4 \div 4=1$ . Write $1$ in the thousands place.
Bring down the hundreds digit, $0$ . Since $0 \div 4=0$ , write $0$ in the hundreds place.
Bring down the tens digit, $3$ . Since $3$ is less than $4$ , write $0$ in the tens place. This zero is important because there are no groups of $4$ in $3$ .
Bring down the ones digit, $2$ . Now you have $32$ . Divide: $32 \div 4=8$ . Write $8$ in the ones place.

So,

4{,}032 \div 4=1{,}008

You can check the answer:

4 \times 1{,}008=4{,}032

Therefore, the quotient is $\boxed{1{,}008}$ . If there is a remainder, it must be less than the divisor.

Learn by doing: Divide a 4-digit number by a 1-digit number

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Long Division - No Remainder 4 x 1

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Divide a 4-digit number by a 1-digit number

Detailed Explanation: Divide a 4-digit number by a 1-digit number

Learn by doing: Divide a 4-digit number by a 1-digit number

Practice with unlimited practice problems

Practice:

Long Division - No Remainder 4 x 1