Long Division: 999 ÷ 13

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Dividend (number to be divided)
Divisor (number to divide by)

How to divide 999 by 13 using long division and find the remainder?

Answer

999 ÷ 13 = 76 remainder 11

= 76.846153 ≈ 76.85

Remainder 11 is less than the divisor 13. Check: 76 × 13 + 11 = 999.

999 ÷ 13 in a column

76
13999
−91
89
−78
11

In the column: quotient 76, remainder 11.

Step by step: 999 ÷ 13

  1. Step 199 ÷ 13 → 7: 7 × 13 = 91, 99 − 91 = 8; bring down 9 → 89
  2. Step 289 ÷ 13 → 6: 6 × 13 = 78, 89 − 78 = 11
  3. Quotient and remainder76 remainder 11

After the point, add a zero to the remainder: 110 ÷ 13 → 8, remainder 6; 60 ÷ 13 → 4, remainder 8; 80 ÷ 13 → 6, remainder 2; 20 ÷ 13 → 1, remainder 7; 70 ÷ 13 → 5, remainder 5; 50 ÷ 13 → 3, remainder 11; remainder 11 again — the digits repeat.

999 ÷ 13 = 76.846153 ≈ 76.85

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See Also

Long Division Table

FAQ

How to divide 999 by 13 using long division and find the remainder?

999 ÷ 13 = 76 remainder 11

Is 999 divisible by 13?

No, 999 is not divisible by 13. The remainder is 11.

How to check the result of 999 ÷ 13?

Multiply the quotient 76 by the divisor 13 and add the remainder 11. The result should equal 999.