Long Division: 1000 ÷ 14

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Divisor (number to divide by)

How to divide 1,000 by 14 using long division and find the remainder?

Answer

1,000 ÷ 14 = 71 remainder 6

= 71.428571 ≈ 71.43

Remainder 6 is less than the divisor 14. Check: 71 × 14 + 6 = 1,000.

1,000 ÷ 14 in a column

71
141000
−98
20
−14
6

In the column: quotient 71, remainder 6.

Step by step: 1,000 ÷ 14

  1. Step 1100 ÷ 14 → 7: 7 × 14 = 98, 100 − 98 = 2; bring down 0 → 20
  2. Step 220 ÷ 14 → 1: 1 × 14 = 14, 20 − 14 = 6
  3. Quotient and remainder71 remainder 6

After the point, add a zero to the remainder: 60 ÷ 14 → 4, remainder 4; 40 ÷ 14 → 2, remainder 12; 120 ÷ 14 → 8, remainder 8; 80 ÷ 14 → 5, remainder 10; 100 ÷ 14 → 7, remainder 2; 20 ÷ 14 → 1, remainder 6; remainder 6 again — the digits repeat.

1,000 ÷ 14 = 71.428571 ≈ 71.43

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 1,000 by 14 using long division and find the remainder?

1,000 ÷ 14 = 71 remainder 6

Is 1,000 divisible by 14?

No, 1,000 is not divisible by 14. The remainder is 6.

How to check the result of 1,000 ÷ 14?

Multiply the quotient 71 by the divisor 14 and add the remainder 6. The result should equal 1,000.