How to compute 100 divided by 17?

Division is a mathematical operation that consists of determining how many times a number (the divisor, 100) is contained in another number (the dividend, 17). The result of this operation is called the quotient.

Asking for the quotient of 100 and 17 is the same of getting the result of 100 divided by 17, which can be displayed in several ways:

Floating point number 5.8823529411765
Rational number 100/17
Mixed number 5 15/17
Euclidean division 5 remainder 15
Integer quotient 5

100 divided by 17, step by step

Step 1

Set up the division: position the divisor (17) on the left and the dividend (100) on the right.

1 7 ) 1 0 0

Step 2

Determine how many times 17 can be multiplied without exceeding the dividend (1). The answer is 0. Place this digit on top.

0
1 7 ) 1 0 0

Step 3

Multiply the divisor by the previous result (17 × 0 = 0). Write the new result below the dividend.

0
1 7 ) 1 0 0
0

Step 4

Subtract this result from the number above it (1 - 0 = 1). Write the difference below.

0
1 7 ) 1 0 0
- 0
1

Step 5

Bring down the next digit of the dividend (0) down.

0
1 7 ) 1 0 0
- 0
1 0

Step 6

Determine how many times 17 can be multiplied without exceeding the dividend (10). The answer is 0. Place this digit on top.

0 0
1 7 ) 1 0 0
- 0
1 0

Step 7

Multiply the divisor by the previous result (17 × 0 = 0). Write the new result below the dividend.

0 0
1 7 ) 1 0 0
- 0
1 0
0

Step 8

Subtract this result from the number above it (10 - 0 = 0). Write the difference below.

0 0
1 7 ) 1 0 0
- 0
1 0
- 0
1 0

Step 9

Bring down the next digit of the dividend (0) down.

0 0
1 7 ) 1 0 0
- 0
1 0
- 0
1 0 0

Step 10

Determine how many times 17 can be multiplied without exceeding the dividend (100). The answer is 5. Place this digit on top.

0 0 5
1 7 ) 1 0 0
- 0
1 0
- 0
1 0 0

Step 11

Multiply the divisor by the previous result (17 × 5 = 85). Write the new result below the dividend.

0 0 5
1 7 ) 1 0 0
- 0
1 0
- 0
1 0 0
8 5

Step 12

Subtract this result from the number above it (100 - 85 = 5). Write the difference below.

0 0 5
1 7 ) 1 0 0
- 0
1 0
- 0
1 0 0
- 8 5
1 5

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 100 divided by 17, the solution is: 5 remainder 15.