We're dividing 768642 by 61 
We want to divide 768642 by 61.

Moving on to step 1:
61 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 61

Step 2:
When dividing 76 by 61, we get 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 61 from 76 leaves us with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 61

Moving on to step 3:
158 divided by 61 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 122 from 158 to get 36.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 61

Advancing to step 4:
61 goes into 366 6 times with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 126.0
The remainder is 0 after subtracting 366 from 366.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 61

On to step 5:
61 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 1260.0
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 61

Step 6:
If we divide 42 by 61, we get 0 and a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 12600.0
Subtracting 0 from 42 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 12600.6
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
The number 61 fits into 540 8 times, leaving a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 12600.68
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
When dividing 520 by 61, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 12600.688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 12600.688 with a remaining 0.0032.