We're dividing 960742 by 61 
We want to figure out the number of times 960742 can be divided by 61.

Moving on to step 1:
If we divide 9 by 61, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 61

Step 2:
The number 61 fits into 96 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 61 from 96 leaves us with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 61

Step 3:
61 goes into 350 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 305 from 350, we get 45.
Include the next digit (7) from the dividend after 45, then repeat: 457 / 61

Step 4:
If we divide 457 by 61, we get 7 and a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 157.0
If we subtract 427 from 457, we get 30.
Include the next digit (4) from the dividend after 30, then repeat: 304 / 61

Going ahead to step 5:
304 divided by 61 is 4 with a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 1574.0
The remainder is 60 after subtracting 244 from 304.
Grab the next digit (2) from the dividend, add it to 60, then carry on: 602 / 61

Going ahead to step 6:
When dividing 602 by 61, we get 9 with a remainder of 53.
Write down 9 as next digit of the result. 
Result so far: 15749.0
If we subtract 549 from 602, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 7:
The number 61 fits into 530 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 15749.8
Deduct 488 from 530 and we're left 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.

Step 8:
When dividing 420 by 61, we get 6 with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 15749.86
The remainder is 54 after subtracting 366 from 420.
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 9:
When dividing 540 by 61, we get 8 with a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 15749.868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 10:
520 divided by 61 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 15749.8688
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.

In conclusion, the division gives 15749.8688 with a balance of 0.00032.