We divide 7101 by 79
We want to figure out the number of times 7101 can be divided by 79.

On to step 1:
7 divided by 79 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 79

Moving on to step 2:
79 goes into 71 0 times with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Take the next digit (0) from the dividend and append it to 71, then repeat: 710 / 79

Advancing to step 3:
If we divide 710 by 79, we get 8 and a remainder of 78.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 632 from 710 and we're left with 78.
Fetch the next digit (1) from the dividend, attach it to 78 and continue: 781 / 79

Let's proceed to step 4:
If we divide 781 by 79, we get 9 and a remainder of 70.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Subtract 711 from 781 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 5:
The number 79 fits into 700 8 times, leaving a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 89.8
Deduct 632 from 700 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 6:
When dividing 680 by 79, we get 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 89.88
If we subtract 632 from 680, 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.

The quotient of the division is 89.88, and the remainder is 0.048.