629072 ÷ 91 
Our goal is to divide 629072 by 91.

Step 1:
91 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 91

On to step 2:
When dividing 62 by 91, we get 0 with a remainder of 62.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 62 to get 62.
Take the next digit (9) from the dividend and append it to 62, then repeat: 629 / 91

Going ahead to step 3:
The number 91 fits into 629 6 times, leaving a remainder of 83.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 546 from 629 to get 83.
Include the next digit (0) from the dividend after 83, then repeat: 830 / 91

Advancing to step 4:
91 can be fit into 830 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 69.0
Deduct 819 from 830 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 91

On to step 5:
91 can be fit into 117 1 times, resulting in a remainder of 26.
The next digit of our result is 1. 
Result so far: 691.0
If we subtract 91 from 117, we get 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 91

On to step 6:
The number 91 fits into 262 2 times, leaving a remainder of 80.
The next digit of our result is 2. 
Result so far: 6912.0
Subtracting 182 from 262 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 7:
91 goes into 800 8 times with a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 6912.8
Subtract 728 from 800 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 8:
91 can be fit into 720 7 times, resulting in a remainder of 83.
Put 7 as the next digit of the answer. 
Result so far: 6912.87
The remainder is 83 after subtracting 637 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 9:
830 divided by 91 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 6912.879
If we take 819 away from 830, we end up 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.

Advancing to step 10:
91 goes into 110 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 6912.8791
Subtracting 91 from 110 leaves us 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.

Going ahead to step 11:
The number 91 fits into 190 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 6912.87912
If we subtract 182 from 190, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
91 goes into 80 0 times with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6912.87912
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 13:
91 can be fit into 800 8 times, resulting in a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 6912.8791208
Subtracting 728 from 800 leaves us 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.

Let's proceed to step 14:
91 can be fit into 720 7 times, resulting in a remainder of 83.
Write down 7 as next digit of the result. 
Result so far: 6912.87912087
Subtract 637 from 720 to 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.

The final result is 6912.87912087 with a remainder of 8.3e-08.