9700 ÷ 85 
We want to figure out the number of times 9700 can be divided by 85.

On to step 1:
85 goes into 9 0 times with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 85

On to step 2:
If we divide 97 by 85, we get 1 and a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 85 from 97, we get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 85

Going ahead to step 3:
85 can be fit into 120 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 85 from 120 and we're left with 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 85

Advancing to step 4:
85 goes into 350 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 114.0
If we subtract 340 from 350, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 5:
The number 85 fits into 100 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 114.1
If we take 85 away from 100, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 6:
When dividing 150 by 85, we get 1 with a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 114.11
The remainder is 65 after subtracting 85 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final outcome is 114.11, with a leftover of 0.065.