Skill: Divide multi-digit numbers by 1-digit divisors

Explanation and Free Practice Resources

This understanding involves partitioning a multi-digit whole-number dividend into place-value units and determining the quotient for a one-digit divisor, using partial quotients, an area model, or the standard algorithm with regrouping. The quotient digits, any remainder smaller than the divisor, and estimates are connected through the inverse relationship with multiplication, so results can be checked and remainders interpreted in context; the scope is whole-number division, not decimal divisors or more advanced rational-number division.

Detailed Explanation: Divide multi-digit numbers by 1-digit divisors

To divide a multi-digit number by a one-digit number, work from left to right by place value. If a place-value amount cannot be divided evenly, regroup its remainder into the next smaller place.

Example: Find 846÷3846 \div 3.

  1. Divide the hundreds.
    88 hundreds divided by 33 is 22 hundreds, with 22 hundreds left over.

  2. Regroup the remainder.
    The 22 leftover hundreds become 2020 tens. Add the 44 tens already in 846846:

20 tens+4 tens=24 tens. 20\text{ tens}+4\text{ tens}=24\text{ tens}.
  1. Divide the tens.
    2424 tens divided by 33 is 88 tens, with no tens left over.

  2. Divide the ones.
    Bring down the 66 ones.
    66 ones divided by 33 is 22 ones.

The quotient is:

846÷3=282846\div 3=282

You can check by multiplying:

282×3=846.282\times 3=846.

An estimate also helps: 846846 is close to 900900, and 900÷3=300900\div3=300, so an answer of 282282 is reasonable.

Learn by doing: Divide multi-digit numbers by 1-digit divisors

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Long Division - No Remainder 4 x 1


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