We're dividing 684620 by 91 
We want to figure out the number of times 684620 can be divided by 91.

Step 1:
91 goes into 6 0 times 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.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 91

Step 2:
68 divided by 91 is 0 with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Bring next digit (4) of the dividend behind the 68 and repeat the process: 684 / 91

Going ahead to step 3:
91 goes into 684 7 times with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 637 from 684 and we're left with 47.
Bring next digit (6) of the dividend behind the 47 and repeat the process: 476 / 91

Going ahead to step 4:
If we divide 476 by 91, we get 5 and a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Deduct 455 from 476 and we're left with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 91

Moving on to step 5:
If we divide 212 by 91, we get 2 and a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 752.0
The remainder is 30 after subtracting 182 from 212.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 91

On to step 6:
When dividing 300 by 91, we get 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 7523.0
If we subtract 273 from 300, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
When dividing 270 by 91, we get 2 with a remainder of 88.
The number 2 becomes the next digit in our result. 
Result so far: 7523.2
The remainder is 88 after subtracting 182 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Let's proceed to step 8:
When dividing 880 by 91, we get 9 with a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 7523.29
Subtracting 819 from 880 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 9:
610 divided by 91 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 7523.296
If we subtract 546 from 610, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 10:
640 divided by 91 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 7523.2967
Subtracting 637 from 640 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
When dividing 30 by 91, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 7523.2967
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
91 goes into 300 3 times with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 7523.296703
The remainder is 27 after subtracting 273 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 13:
If we divide 270 by 91, we get 2 and a remainder of 88.
Put 2 as the next digit of the answer. 
Result so far: 7523.2967032
If we subtract 182 from 270, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 14:
880 divided by 91 is 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 7523.29670329
Subtract 819 from 880 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

In conclusion, the division gives 7523.29670329 with a balance of 6.1e-08.