Long Division: 71 ÷ 7

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

How to divide 71 by 7 using long division and find the remainder?

Answer

71 ÷ 7 = 10 remainder 1

= 10.142857 ≈ 10.14

Remainder 1 is less than the divisor 7. Check: 10 × 7 + 1 = 71.

71 ÷ 7 in a column

10
771
−7
1

In the column: quotient 10, remainder 1.

Step by step: 71 ÷ 7

  1. Step 17 ÷ 7 → 1: 1 × 7 = 7, 7 − 7 = 0; bring down 1 → 1
  2. Step 21 < 7 → 0
  3. Quotient and remainder10 remainder 1

After the point, add a zero to the remainder: 10 ÷ 7 → 1, remainder 3; 30 ÷ 7 → 4, remainder 2; 20 ÷ 7 → 2, remainder 6; 60 ÷ 7 → 8, remainder 4; 40 ÷ 7 → 5, remainder 5; 50 ÷ 7 → 7, remainder 1; remainder 1 again — the digits repeat.

71 ÷ 7 = 10.142857 ≈ 10.14

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 71 by 7 using long division and find the remainder?

71 ÷ 7 = 10 remainder 1

Is 71 divisible by 7?

No, 71 is not divisible by 7. The remainder is 1.

How to check the result of 71 ÷ 7?

Multiply the quotient 10 by the divisor 7 and add the remainder 1. The result should equal 71.