Long Division Math Example 4

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

Example 4

hard
Compute 2034÷122034 \div 12.

Solution

  1. 1
    Divide 20 by 12: quotient 1, remainder 20−12=820 - 12 = 8. Bring down 3 to get 83.
  2. 2
    Divide 83 by 12: quotient 6, remainder 83−72=1183 - 72 = 11. Bring down 4 to get 114.
  3. 3
    Divide 114 by 12: quotient 9, remainder 114−108=6114 - 108 = 6.
  4. 4
    Result: 2034÷12=1692034 \div 12 = 169 remainder 66, or 169 R 6169\,\text{R}\,6.

Answer

169 R 6169 \text{ R } 6
With a two-digit divisor, estimate how many times the divisor fits at each step. Keep track of remainders carefully and bring down the next digit each time.

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.

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More Long Division Examples

Example 1 easy

Compute [formula].

Example 2 medium

Compute [formula].

Example 3 medium

Compute [formula].

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