We look at the division of 645901 by 91 
We're looking to find how many times 91 goes into 645901.

Going ahead to step 1:
6 divided by 91 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 91

Moving on to step 2:
If we divide 64 by 91, we get 0 and a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Fetch the next digit (5) from the dividend, attach it to 64 and continue: 645 / 91

Moving on to step 3:
645 divided by 91 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 637 away from 645, we end up with 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 91

Step 4:
91 can be fit into 89 0 times, resulting in a remainder of 89.
Use 0 as the next digit of our solution. 
Result so far: 70.0
If we subtract 0 from 89, we get 89.
Take the next digit (0) from the dividend and append it to 89, then repeat: 890 / 91

On to step 5:
If we divide 890 by 91, we get 9 and a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 709.0
Subtract 819 from 890 to get 71.
Fetch the next digit (1) from the dividend, attach it to 71 and continue: 711 / 91

Moving on to step 6:
91 can be fit into 711 7 times, resulting in a remainder of 74.
The number 7 becomes the next digit in our result. 
Result so far: 7097.0
Subtract 637 from 711 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 7:
The number 91 fits into 740 8 times, leaving a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 7097.8
Subtracting 728 from 740 leaves us 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.

Let's proceed to step 8:
The number 91 fits into 120 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 7097.81
The remainder is 29 after subtracting 91 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
When dividing 290 by 91, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 7097.813
The remainder is 17 after subtracting 273 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
91 goes into 170 1 times with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 7097.8131
Subtract 91 from 170 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 11:
When dividing 790 by 91, we get 8 with a remainder of 62.
The next digit of our result is 8. 
Result so far: 7097.81318
Deduct 728 from 790 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 12:
91 can be fit into 620 6 times, resulting in a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 7097.813186
Deduct 546 from 620 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 13:
If we divide 740 by 91, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 7097.8131868
If we take 728 away from 740, we end up 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.

Advancing to step 14:
91 goes into 120 1 times with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 7097.81318681
The remainder is 29 after subtracting 91 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 7097.81318681 with a remainder of 2.9e-08.