966129 ÷ 61 
We want to divide 966129 by 61.

Let's proceed to step 1:
61 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 61

Going ahead to step 2:
If we divide 96 by 61, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 61 from 96, we get 35.
Grab the next digit (6) from the dividend, add it to 35, then carry on: 356 / 61

On to step 3:
The number 61 fits into 356 5 times, leaving a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 51 after subtracting 305 from 356.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 61

Step 4:
61 goes into 511 8 times with a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 158.0
Deduct 488 from 511 and we're left with 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 61

Step 5:
If we divide 232 by 61, we get 3 and a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 1583.0
Subtract 183 from 232 to get 49.
Include the next digit (9) from the dividend after 49, then repeat: 499 / 61

Step 6:
499 divided by 61 is 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 15838.0
The remainder is 11 after subtracting 488 from 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
The number 61 fits into 110 1 times, leaving a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 15838.1
Deduct 61 from 110 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 8:
The number 61 fits into 490 8 times, leaving a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 15838.18
Deduct 488 from 490 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 61, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 15838.18
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
200 divided by 61 is 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 15838.1803
If we take 183 away from 200, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
If we divide 170 by 61, we get 2 and a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 15838.18032
Subtract 122 from 170 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 15838.180327
Subtract 427 from 480 to 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.

Going ahead to step 13:
If we divide 530 by 61, we get 8 and a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 15838.1803278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 14:
When dividing 420 by 61, we get 6 with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 15838.18032786
Subtracting 366 from 420 leaves us 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.

In conclusion, the division gives 15838.18032786 with a balance of 5.4e-08.