We're dividing 6101 by 79 
We want to divide 6101 by 79.

Moving on to step 1:
79 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 79

Advancing to step 2:
79 can be fit into 61 0 times, resulting in a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 61 after subtracting 0 from 61.
Bring next digit (0) of the dividend behind the 61 and repeat the process: 610 / 79

Step 3:
79 can be fit into 610 7 times, resulting in a remainder of 57.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 553 from 610 leaves us with 57.
Grab the next digit (1) from the dividend, add it to 57, then carry on: 571 / 79

Step 4:
If we divide 571 by 79, we get 7 and a remainder of 18.
The next digit of our result is 7. 
Result so far: 77.0
Deduct 553 from 571 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 5:
180 divided by 79 is 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 77.2
The remainder is 22 after subtracting 158 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 6:
220 divided by 79 is 2 with a remainder of 62.
Use 2 as the next digit of our solution. 
Result so far: 77.22
If we subtract 158 from 220, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The final result is 77.22 with a remainder of 0.062.