We look at the division of 629568 by 61 
We want to divide 629568 by 61.

Advancing to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 61

Step 2:
61 can be fit into 62 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 62, we end up with 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 61

Step 3:
61 can be fit into 19 0 times, resulting in a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 19 after subtracting 0 from 19.
Include the next digit (5) from the dividend after 19, then repeat: 195 / 61

Advancing to step 4:
If we divide 195 by 61, we get 3 and a remainder of 12.
The next digit of our result is 3. 
Result so far: 103.0
Deduct 183 from 195 and we're left with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 61

Advancing to step 5:
61 can be fit into 126 2 times, resulting in a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 1032.0
If we take 122 away from 126, we end up with 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 61

Going ahead to step 6:
61 goes into 48 0 times with a remainder of 48.
Record the quotient 0 as the next digit in the result. 
Result so far: 10320.0
Deduct 0 from 48 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 10320.7
Subtracting 427 from 480 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
If we divide 530 by 61, we get 8 and a remainder of 42.
The next digit of our result is 8. 
Result so far: 10320.78
If we subtract 488 from 530, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 9:
If we divide 420 by 61, we get 6 and a remainder of 54.
The next digit of our result is 6. 
Result so far: 10320.786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 10:
If we divide 540 by 61, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 10320.7868
Subtracting 488 from 540 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
When dividing 520 by 61, we get 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 10320.78688
Subtract 488 from 520 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 10320.78688 with a remaining 3.2e-05.