Long Division Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Compute 1573÷111573 \div 11.

Solution

  1. 1
    Divide 15 by 11: quotient digit 1, remainder 15−11=415 - 11 = 4. Bring down 7 to get 47.
  2. 2
    Divide 47 by 11: quotient digit 4, remainder 47−44=347 - 44 = 3. Bring down 3 to get 33.
  3. 3
    Divide 33 by 11: quotient digit 3, remainder 0.
  4. 4
    Result: 1573÷11=1431573 \div 11 = 143.

Answer

143143
When dividing by a two-digit number, estimate how many times the divisor fits into each partial dividend and verify by multiplying back.

About Long Division

Long division is a step-by-step method for dividing large numbers by breaking the problem into a series of easier steps: divide, multiply, subtract, bring down, and repeat. It produces a quotient and possibly a remainder.

Learn more about Long Division →

More Long Division Examples

Example 1 easy

Compute [formula].

Example 3 medium

Compute [formula].

Example 4 hard

Compute [formula].

← All Long Division Examples Long Division Concept