Long Division: 71 ÷ 17

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

How to divide 71 by 17 using long division and find the remainder?

Answer

71 ÷ 17 = 4 remainder 3

= 4.1764705882352941 ≈ 4.18

Remainder 3 is less than the divisor 17. Check: 4 × 17 + 3 = 71.

71 ÷ 17 in a column

4
1771
−68
3

In the column: quotient 4, remainder 3.

Step by step: 71 ÷ 17

  1. Step 171 ÷ 17 → 4: 4 × 17 = 68, 71 − 68 = 3
  2. Quotient and remainder4 remainder 3

After the point, add a zero to the remainder: 30 ÷ 17 → 1, remainder 13; 130 ÷ 17 → 7, remainder 11; 110 ÷ 17 → 6, remainder 8; …; the remainder 3 returns after step 16 — period length 16.

71 ÷ 17 = 4.1764705882352941 ≈ 4.18

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 71 by 17 using long division and find the remainder?

71 ÷ 17 = 4 remainder 3

Is 71 divisible by 17?

No, 71 is not divisible by 17. The remainder is 3.

How to check the result of 71 ÷ 17?

Multiply the quotient 4 by the divisor 17 and add the remainder 3. The result should equal 71.