Let's divide 953627 by 17
We want to divide 953627 by 17.

Advancing to step 1:
9 divided by 17 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 17

Step 2:
17 goes into 95 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 85 from 95 and we're left with 10.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 17

Moving on to step 3:
The number 17 fits into 103 6 times, leaving a remainder of 1.
The next digit of our result is 6. 
Result so far: 56.0
Subtract 102 from 103 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 17

Let's proceed to step 4:
17 can be fit into 16 0 times, resulting in a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 560.0
Deduct 0 from 16 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 17

Advancing to step 5:
162 divided by 17 is 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 5609.0
If we take 153 away from 162, we end up with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 17

Step 6:
17 can be fit into 97 5 times, resulting in a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 56095.0
Deduct 85 from 97 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
If we divide 120 by 17, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 56095.7
Deduct 119 from 120 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
17 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 56095.7
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 9:
17 goes into 100 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 56095.705
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
The number 17 fits into 150 8 times, leaving a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 56095.7058
The remainder is 14 after subtracting 136 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 11:
17 goes into 140 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 56095.70588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 56095.70588 with a remaining 4e-06.