Let's divide 628561 by 17
Our goal is to divide 628561 by 17.

Let's proceed to step 1:
6 divided by 17 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 17

On to step 2:
62 divided by 17 is 3 with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 51 from 62, we get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 17

Advancing to step 3:
118 divided by 17 is 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 36.0
Subtracting 102 from 118 leaves us with 16.
Fetch the next digit (5) from the dividend, attach it to 16 and continue: 165 / 17

Moving on to step 4:
If we divide 165 by 17, we get 9 and a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 369.0
Deduct 153 from 165 and we're left with 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 17

Advancing to step 5:
126 divided by 17 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 3697.0
Deduct 119 from 126 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 17

Going ahead to step 6:
17 goes into 71 4 times with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 36974.0
If we take 68 away from 71, 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.

Advancing to step 7:
When dividing 30 by 17, we get 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 36974.1
If we take 17 away from 30, we end up 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.

Moving on to step 8:
17 goes into 130 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 36974.17
Deduct 119 from 130 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 36974.176
The remainder is 8 after subtracting 102 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
17 can be fit into 80 4 times, resulting in a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 36974.1764
Deduct 68 from 80 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 11:
The number 17 fits into 120 7 times, leaving a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 36974.17647
If we take 119 away from 120, we end up 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.

Advancing to step 12:
17 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 36974.17647
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
The number 17 fits into 100 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 36974.1764705
If we subtract 85 from 100, we 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.

Step 14:
When dividing 150 by 17, we get 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 36974.17647058
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 36974.17647058 with a remaining 1.4e-08.