610629 ÷ 91 
Our goal is to divide 610629 by 91.

Let's proceed to step 1:
6 divided by 91 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 91

On to step 2:
The number 91 fits into 61 0 times, leaving a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 61, we end up with 61.
Take the next digit (0) from the dividend and append it to 61, then repeat: 610 / 91

On to step 3:
The number 91 fits into 610 6 times, leaving a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 546 from 610 leaves us with 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 91

Let's proceed to step 4:
91 can be fit into 646 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we take 637 away from 646, we end up with 9.
Fetch the next digit (2) from the dividend, attach it to 9 and continue: 92 / 91

On to step 5:
91 can be fit into 92 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 671.0
If we subtract 91 from 92, we get 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 91

Let's proceed to step 6:
91 goes into 19 0 times with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 6710.0
If we subtract 0 from 19, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
When dividing 190 by 91, we get 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 6710.2
Subtracting 182 from 190 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
80 divided by 91 is 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6710.2
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 9:
The number 91 fits into 800 8 times, leaving a remainder of 72.
The next digit of our result is 8. 
Result so far: 6710.208
Deduct 728 from 800 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
If we divide 720 by 91, we get 7 and a remainder of 83.
Write down 7 as next digit of the result. 
Result so far: 6710.2087
If we subtract 637 from 720, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 11:
If we divide 830 by 91, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 6710.20879
Subtract 819 from 830 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 12:
If we divide 110 by 91, we get 1 and a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 6710.208791
If we take 91 away from 110, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 13:
If we divide 190 by 91, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6710.2087912
Deduct 182 from 190 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
91 goes into 80 0 times with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6710.2087912
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final outcome is 6710.2087912, with a leftover of 8e-08.