Long Division: 53 ÷ 3

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

How to divide 53 by 3 using long division and find the remainder?

Answer

53 ÷ 3 = 17 remainder 2

= 17.6 ≈ 17.67

Remainder 2 is less than the divisor 3. Check: 17 × 3 + 2 = 53.

53 ÷ 3 in a column

17
353
−3
23
−21
2

In the column: quotient 17, remainder 2.

Step by step: 53 ÷ 3

  1. Step 15 ÷ 3 → 1: 1 × 3 = 3, 5 − 3 = 2; bring down 3 → 23
  2. Step 223 ÷ 3 → 7: 7 × 3 = 21, 23 − 21 = 2
  3. Quotient and remainder17 remainder 2

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

53 ÷ 3 = 17.6 ≈ 17.67

Similar examples to practise

See Also

Long Division Table

DivisionQuotientRemainder
46 ÷ 3151
47 ÷ 3152
48 ÷ 3160
49 ÷ 3161
50 ÷ 3162
51 ÷ 3170
52 ÷ 3171
53 ÷ 3172
54 ÷ 3180
55 ÷ 3181
56 ÷ 3182
57 ÷ 3190
58 ÷ 3191
59 ÷ 3192
60 ÷ 3200

FAQ

How to divide 53 by 3 using long division and find the remainder?

53 ÷ 3 = 17 remainder 2

Is 53 divisible by 3?

No, 53 is not divisible by 3. The remainder is 2.

How to check the result of 53 ÷ 3?

Multiply the quotient 17 by the divisor 3 and add the remainder 2. The result should equal 53.