97951 ÷ 84 
We want to figure out the number of times 97951 can be divided by 84.

Moving on to step 1:
If we divide 9 by 84, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 84

Moving on to step 2:
97 divided by 84 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 84 from 97 and we're left with 13.
Fetch the next digit (9) from the dividend, attach it to 13 and continue: 139 / 84

On to step 3:
84 can be fit into 139 1 times, resulting in a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 55 after subtracting 84 from 139.
Bring next digit (5) of the dividend behind the 55 and repeat the process: 555 / 84

Moving on to step 4:
555 divided by 84 is 6 with a remainder of 51.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
Subtracting 504 from 555 leaves us with 51.
Include the next digit (1) from the dividend after 51, then repeat: 511 / 84

Moving on to step 5:
511 divided by 84 is 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 1166.0
Deduct 504 from 511 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 6:
When dividing 70 by 84, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 1166.0
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 7:
84 can be fit into 700 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 1166.08
Subtracting 672 from 700 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
84 goes into 280 3 times with a remainder of 28.
Write down 3 as next digit of the result. 
Result so far: 1166.083
If we take 252 away from 280, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
280 divided by 84 is 3 with a remainder of 28.
Put 3 as the next digit of the answer. 
Result so far: 1166.0833
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 1166.0833, and the remainder is 0.00028.