We're dividing 966739 by 61 
We're looking to find how many times 61 goes into 966739.

Step 1:
61 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 61

Let's proceed to step 2:
If we divide 96 by 61, we get 1 and a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 96, we end up with 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 61

Step 3:
61 goes into 356 5 times with a remainder of 51.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 305 from 356, we get 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 61

On to step 4:
61 goes into 517 8 times with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 158.0
If we take 488 away from 517, we end up with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 61

Advancing to step 5:
The number 61 fits into 293 4 times, leaving a remainder of 49.
Use 4 as the next digit of our solution. 
Result so far: 1584.0
Subtract 244 from 293 to get 49.
Include the next digit (9) from the dividend after 49, then repeat: 499 / 61

Let's proceed to step 6:
499 divided by 61 is 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 15848.0
Subtracting 488 from 499 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
When dividing 110 by 61, we get 1 with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 15848.1
Subtract 61 from 110 to get 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:
61 can be fit into 490 8 times, resulting in a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 15848.18
Subtract 488 from 490 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
61 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15848.18
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 10:
61 can be fit into 200 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 15848.1803
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 11:
If we divide 170 by 61, we get 2 and a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 15848.18032
If we subtract 122 from 170, we 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.

Moving on to step 12:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 15848.180327
Deduct 427 from 480 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 13:
530 divided by 61 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 15848.1803278
If we subtract 488 from 530, we 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.

Step 14:
The number 61 fits into 420 6 times, leaving a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 15848.18032786
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.

The quotient of the division is 15848.18032786, and the remainder is 5.4e-08.