Long Division: 31 ÷ 14

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

How to divide 31 by 14 using long division and find the remainder?

Answer

31 ÷ 14 = 2 remainder 3

= 2.2142857 ≈ 2.21

Remainder 3 is less than the divisor 14. Check: 2 × 14 + 3 = 31.

31 ÷ 14 in a column

2
1431
−28
3

In the column: quotient 2, remainder 3.

Step by step: 31 ÷ 14

  1. Step 131 ÷ 14 → 2: 2 × 14 = 28, 31 − 28 = 3
  2. Quotient and remainder2 remainder 3

After the point, add a zero to the remainder: 30 ÷ 14 → 2, remainder 2; 20 ÷ 14 → 1, remainder 6; 60 ÷ 14 → 4, remainder 4; …; the remainder 2 returns after step 7 — period length 6.

31 ÷ 14 = 2.2142857 ≈ 2.21

Similar examples to practise

See Also

Long Division Table

FAQ

How to divide 31 by 14 using long division and find the remainder?

31 ÷ 14 = 2 remainder 3

Is 31 divisible by 14?

No, 31 is not divisible by 14. The remainder is 3.

How to check the result of 31 ÷ 14?

Multiply the quotient 2 by the divisor 14 and add the remainder 3. The result should equal 31.