We look at the division of 561317 by 79 
Our goal is to divide 561317 by 79.

On to step 1:
The number 79 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 79

Advancing to step 2:
When dividing 56 by 79, we get 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 79

Moving on to step 3:
561 divided by 79 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 8 after subtracting 553 from 561.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 79

Let's proceed to step 4:
79 goes into 83 1 times with a remainder of 4.
The next digit of our result is 1. 
Result so far: 71.0
If we take 79 away from 83, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 79

On to step 5:
When dividing 41 by 79, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 710.0
The remainder is 41 after subtracting 0 from 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 79

Advancing to step 6:
If we divide 417 by 79, we get 5 and a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 7105.0
Subtracting 395 from 417 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
220 divided by 79 is 2 with a remainder of 62.
Use 2 as the next digit of our solution. 
Result so far: 7105.2
Deduct 158 from 220 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 8:
620 divided by 79 is 7 with a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 7105.27
Subtracting 553 from 620 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 9:
670 divided by 79 is 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 7105.278
The remainder is 38 after subtracting 632 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 10:
79 goes into 380 4 times with a remainder of 64.
The next digit of our result is 4. 
Result so far: 7105.2784
If we take 316 away from 380, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 11:
640 divided by 79 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7105.27848
Subtract 632 from 640 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
79 goes into 80 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 7105.278481
If we subtract 79 from 80, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 13:
If we divide 10 by 79, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7105.278481
If we subtract 0 from 10, 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.

Moving on to step 14:
If we divide 100 by 79, we get 1 and a remainder of 21.
The next digit of our result is 1. 
Result so far: 7105.27848101
Deduct 79 from 100 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 7105.27848101 and a remainder of 2.1e-08.