Long Division: 71 ÷ 6

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

How to divide 71 by 6 using long division and find the remainder?

Answer

71 ÷ 6 = 11 remainder 5

= 11.83 ≈ 11.83

Remainder 5 is less than the divisor 6. Check: 11 × 6 + 5 = 71.

71 ÷ 6 in a column

11
671
−6
11
−6
5

In the column: quotient 11, remainder 5.

Step by step: 71 ÷ 6

  1. Step 17 ÷ 6 → 1: 1 × 6 = 6, 7 − 6 = 1; bring down 1 → 11
  2. Step 211 ÷ 6 → 1: 1 × 6 = 6, 11 − 6 = 5
  3. Quotient and remainder11 remainder 5

After the point, add a zero to the remainder: 50 ÷ 6 → 8, remainder 2; 20 ÷ 6 → 3, remainder 2; remainder 2 again — the digits repeat.

71 ÷ 6 = 11.83 ≈ 11.83

Similar examples to practise

See Also

Long Division Table

DivisionQuotientRemainder
64 ÷ 6104
65 ÷ 6105
66 ÷ 6110
67 ÷ 6111
68 ÷ 6112
69 ÷ 6113
70 ÷ 6114
71 ÷ 6115
72 ÷ 6120
73 ÷ 6121
74 ÷ 6122
75 ÷ 6123
76 ÷ 6124
77 ÷ 6125
78 ÷ 6130

FAQ

How to divide 71 by 6 using long division and find the remainder?

71 ÷ 6 = 11 remainder 5

Is 71 divisible by 6?

No, 71 is not divisible by 6. The remainder is 5.

How to check the result of 71 ÷ 6?

Multiply the quotient 11 by the divisor 6 and add the remainder 5. The result should equal 71.