We're dividing 769662 by 61 
Our goal is to divide 769662 by 61.

Advancing to step 1:
7 divided by 61 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 61

Let's proceed to step 2:
When dividing 76 by 61, we get 1 with a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 61 from 76, we get 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 61

On to step 3:
The number 61 fits into 159 2 times, leaving a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 122 from 159 to get 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 61

Step 4:
The number 61 fits into 376 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we take 366 away from 376, we end up with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 61

Going ahead to step 5:
If we divide 106 by 61, we get 1 and a remainder of 45.
The next digit of our result is 1. 
Result so far: 1261.0
Subtracting 61 from 106 leaves us with 45.
Take the next digit (2) from the dividend and append it to 45, then repeat: 452 / 61

Let's proceed to step 6:
If we divide 452 by 61, we get 7 and a remainder of 25.
Use 7 as the next digit of our solution. 
Result so far: 12617.0
If we take 427 away from 452, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 7:
The number 61 fits into 250 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 12617.4
Deduct 244 from 250 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
60 divided by 61 is 0 with a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 12617.4
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
The number 61 fits into 600 9 times, leaving a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 12617.409
Subtracting 549 from 600 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 10:
When dividing 510 by 61, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 12617.4098
If we subtract 488 from 510, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 11:
61 goes into 220 3 times with a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 12617.40983
If we subtract 183 from 220, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 12:
The number 61 fits into 370 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 12617.409836
If we take 366 away from 370, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
61 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 12617.409836
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
When dividing 400 by 61, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 12617.40983606
If we take 366 away from 400, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 12617.40983606 with a balance of 3.4e-08.