We look at the division of 76861 by 79 
We want to divide 76861 by 79.

Step 1:
The number 79 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 79

On to step 2:
79 can be fit into 76 0 times, resulting in a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 76 to get 76.
Fetch the next digit (8) from the dividend, attach it to 76 and continue: 768 / 79

Going ahead to step 3:
If we divide 768 by 79, we get 9 and a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 711 from 768 to get 57.
Include the next digit (6) from the dividend after 57, then repeat: 576 / 79

Advancing to step 4:
When dividing 576 by 79, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 97.0
If we subtract 553 from 576, we get 23.
Fetch the next digit (1) from the dividend, attach it to 23 and continue: 231 / 79

Moving on to step 5:
If we divide 231 by 79, we get 2 and a remainder of 73.
The number 2 becomes the next digit in our result. 
Result so far: 972.0
If we subtract 158 from 231, we get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 6:
If we divide 730 by 79, we get 9 and a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 972.9
If we take 711 away from 730, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 7:
When dividing 190 by 79, we get 2 with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 972.92
If we take 158 away from 190, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 8:
79 can be fit into 320 4 times, resulting in a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 972.924
The remainder is 4 after subtracting 316 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
The number 79 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 972.924
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
If we divide 400 by 79, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 972.92405
The remainder is 5 after subtracting 395 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
If we divide 50 by 79, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 972.92405
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 12:
When dividing 500 by 79, we get 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 972.9240506
Deduct 474 from 500 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
79 goes into 260 3 times with a remainder of 23.
Use 3 as the next digit of our solution. 
Result so far: 972.92405063
Subtracting 237 from 260 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Our division results in 972.92405063 with a remaining 2.3e-08.