We're dividing 643495 by 91 
Our goal is to divide 643495 by 91.

Step 1:
6 divided by 91 is 0 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.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 91

On to step 2:
When dividing 64 by 91, we get 0 with a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Fetch the next digit (3) from the dividend, attach it to 64 and continue: 643 / 91

On to step 3:
91 goes into 643 7 times with a remainder of 6.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 6 after subtracting 637 from 643.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 91

Let's proceed to step 4:
91 can be fit into 64 0 times, resulting in a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
The remainder is 64 after subtracting 0 from 64.
Take the next digit (9) from the dividend and append it to 64, then repeat: 649 / 91

Step 5:
91 goes into 649 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 707.0
Deduct 637 from 649 and we're left with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 91

On to step 6:
The number 91 fits into 125 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7071.0
Subtract 91 from 125 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
340 divided by 91 is 3 with a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 7071.3
Deduct 273 from 340 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 8:
If we divide 670 by 91, we get 7 and a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 7071.37
Deduct 637 from 670 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
330 divided by 91 is 3 with a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 7071.373
If we take 273 away from 330, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 10:
When dividing 570 by 91, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 7071.3736
If we take 546 away from 570, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 11:
240 divided by 91 is 2 with a remainder of 58.
The next digit of our result is 2. 
Result so far: 7071.37362
Subtracting 182 from 240 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 12:
91 can be fit into 580 6 times, resulting in a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 7071.373626
Subtract 546 from 580 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 13:
340 divided by 91 is 3 with a remainder of 67.
Put 3 as the next digit of the answer. 
Result so far: 7071.3736263
If we take 273 away from 340, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 14:
91 goes into 670 7 times with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 7071.37362637
If we take 637 away from 670, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 7071.37362637 with a remainder of 3.3e-08.