How to compute 27 divided by 3?

Division is a mathematical operation that consists of determining how many times a number (the divisor, 27) is contained in another number (the dividend, 3). The result of this operation is called the quotient.

Asking for the quotient of 27 and 3 is the same of getting the result of 27 divided by 3, which can be displayed in several ways:

Floating point number 9
Rational number 9/1
Mixed number 9 0/1
Euclidean division 9 remainder 0
Integer quotient 9

27 divided by 3, step by step

Step 1

Set up the division: position the divisor (3) on the left and the dividend (27) on the right.

3 ) 2 7

Step 2

Determine how many times 3 can be multiplied without exceeding the dividend (2). The answer is 0. Place this digit on top.

0
3 ) 2 7

Step 3

Multiply the divisor by the previous result (3 × 0 = 0). Write the new result below the dividend.

0
3 ) 2 7
0

Step 4

Subtract this result from the number above it (2 - 0 = 2). Write the difference below.

0
3 ) 2 7
- 0
2

Step 5

Bring down the next digit of the dividend (7) down.

0
3 ) 2 7
- 0
2 7

Step 6

Determine how many times 3 can be multiplied without exceeding the dividend (27). The answer is 9. Place this digit on top.

0 9
3 ) 2 7
- 0
2 7

Step 7

Multiply the divisor by the previous result (3 × 9 = 27). Write the new result below the dividend.

0 9
3 ) 2 7
- 0
2 7
2 7

Step 8

Subtract this result from the number above it (27 - 27 = 0). Write the difference below.

0 9
3 ) 2 7
- 0
2 7
- 2 7
0

There are no more digits left to go down from the dividend, indicating that the long division is complete. The quotient is the number at the very top, and any remainder is found at the bottom.

Thus, for 27 divided by 3, the solution is: 9 remainder 0.