We divide 684596 by 61
We want to figure out the number of times 684596 can be divided by 61.

Advancing to step 1:
61 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 61

On to step 2:
68 divided by 61 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 61 from 68, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 61

Let's proceed to step 3:
If we divide 74 by 61, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 13 after subtracting 61 from 74.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 61

Let's proceed to step 4:
61 goes into 135 2 times with a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 112.0
Subtract 122 from 135 to get 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 61

On to step 5:
If we divide 139 by 61, we get 2 and a remainder of 17.
The next digit of our result is 2. 
Result so far: 1122.0
Deduct 122 from 139 and we're left with 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 61

Advancing to step 6:
The number 61 fits into 176 2 times, leaving a remainder of 54.
Record the quotient 2 as the next digit in the result. 
Result so far: 11222.0
Deduct 122 from 176 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 7:
540 divided by 61 is 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 11222.8
If we subtract 488 from 540, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
520 divided by 61 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 11222.88
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 11222.88 with a remainder of 0.032.