We look at the division of 631878 by 17 
Our goal is to divide 631878 by 17.

Going ahead to step 1:
6 divided by 17 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 17

On to step 2:
17 goes into 63 3 times with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 51 from 63 leaves us with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 17

Moving on to step 3:
The number 17 fits into 121 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 119 from 121, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 17

Advancing to step 4:
The number 17 fits into 28 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 371.0
Subtracting 17 from 28 leaves us with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 17

Let's proceed to step 5:
17 goes into 117 6 times with a remainder of 15.
The next digit of our result is 6. 
Result so far: 3716.0
If we take 102 away from 117, we end up with 15.
Include the next digit (8) from the dividend after 15, then repeat: 158 / 17

Moving on to step 6:
17 can be fit into 158 9 times, resulting in a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 37169.0
Subtract 153 from 158 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
17 goes into 50 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 37169.2
The remainder is 16 after subtracting 34 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 37169.29
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 37169.294
Deduct 68 from 70 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 17 is 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 37169.2941
If we take 17 away from 20, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
30 divided by 17 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 37169.29411
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 37169.29411, and the remainder is 1.3e-05.