Long Division: 1000 ÷ 3

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

How to divide 1,000 by 3 using long division and find the remainder?

Answer

1,000 ÷ 3 = 333 remainder 1

= 333.3 ≈ 333.33

Remainder 1 is less than the divisor 3. Check: 333 × 3 + 1 = 1,000.

1,000 ÷ 3 in a column

333
31000
−9
10
−9
10
−9
1

In the column: quotient 333, remainder 1.

Step by step: 1,000 ÷ 3

  1. Step 110 ÷ 3 → 3: 3 × 3 = 9, 10 − 9 = 1; bring down 0 → 10
  2. Step 210 ÷ 3 → 3: 3 × 3 = 9, 10 − 9 = 1; bring down 0 → 10
  3. Step 310 ÷ 3 → 3: 3 × 3 = 9, 10 − 9 = 1
  4. Quotient and remainder333 remainder 1

After the point, add a zero to the remainder: 10 ÷ 3 → 3, remainder 1; remainder 1 again — the digits repeat.

1,000 ÷ 3 = 333.3 ≈ 333.33

See Also

Long Division Table

DivisionQuotientRemainder
957 ÷ 33190
960 ÷ 33200
963 ÷ 33210
966 ÷ 33220
972 ÷ 33240
978 ÷ 33260
981 ÷ 33270
987 ÷ 33290
1,000 ÷ 33331
3,000 ÷ 31,0000
5,436 ÷ 31,8120
10,000 ÷ 33,3331
80,121 ÷ 326,7070
100,000 ÷ 333,3331
1,000,000 ÷ 3333,3331

FAQ

How to divide 1,000 by 3 using long division and find the remainder?

1,000 ÷ 3 = 333 remainder 1

Is 1,000 divisible by 3?

No, 1,000 is not divisible by 3. The remainder is 1.

How to check the result of 1,000 ÷ 3?

Multiply the quotient 333 by the divisor 3 and add the remainder 1. The result should equal 1,000.