965939 ÷ 97 
We're looking to find how many times 97 goes into 965939.

Going ahead to step 1:
9 divided by 97 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
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 / 97

Let's proceed to step 2:
96 divided by 97 is 0 with a remainder of 96.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 96 leaves us with 96.
Include the next digit (5) from the dividend after 96, then repeat: 965 / 97

On to step 3:
965 divided by 97 is 9 with a remainder of 92.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 92 after subtracting 873 from 965.
Fetch the next digit (9) from the dividend, attach it to 92 and continue: 929 / 97

On to step 4:
97 goes into 929 9 times with a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 99.0
If we take 873 away from 929, we end up with 56.
Fetch the next digit (3) from the dividend, attach it to 56 and continue: 563 / 97

Advancing to step 5:
The number 97 fits into 563 5 times, leaving a remainder of 78.
The next digit of our result is 5. 
Result so far: 995.0
If we subtract 485 from 563, we get 78.
Bring next digit (9) of the dividend behind the 78 and repeat the process: 789 / 97

Advancing to step 6:
When dividing 789 by 97, we get 8 with a remainder of 13.
Record the quotient 8 as the next digit in the result. 
Result so far: 9958.0
If we subtract 776 from 789, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
If we divide 130 by 97, we get 1 and a remainder of 33.
The next digit of our result is 1. 
Result so far: 9958.1
If we subtract 97 from 130, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 8:
The number 97 fits into 330 3 times, leaving a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 9958.13
Subtract 291 from 330 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
The number 97 fits into 390 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 9958.134
Subtracting 388 from 390 leaves us 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.

On to step 10:
20 divided by 97 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 9958.134
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
If we divide 200 by 97, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 9958.13402
Deduct 194 from 200 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.

Advancing to step 12:
The number 97 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 9958.13402
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
97 can be fit into 600 6 times, resulting in a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 9958.1340206
If we subtract 582 from 600, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
97 can be fit into 180 1 times, resulting in a remainder of 83.
Record the quotient 1 as the next digit in the result. 
Result so far: 9958.13402061
If we take 97 away from 180, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

The quotient of the division is 9958.13402061, and the remainder is 8.3e-08.