875621 ÷ 79 
Our goal is to divide 875621 by 79.

Advancing to step 1:
8 divided by 79 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 79

Advancing to step 2:
79 can be fit into 87 1 times, resulting in a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 79 away from 87, we end up with 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 79

On to step 3:
The number 79 fits into 85 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 6 after subtracting 79 from 85.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 79

Moving on to step 4:
79 goes into 66 0 times with a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 110.0
If we subtract 0 from 66, we get 66.
Bring next digit (2) of the dividend behind the 66 and repeat the process: 662 / 79

Advancing to step 5:
79 goes into 662 8 times with a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 1108.0
Subtracting 632 from 662 leaves us with 30.
Fetch the next digit (1) from the dividend, attach it to 30 and continue: 301 / 79

Let's proceed to step 6:
If we divide 301 by 79, we get 3 and a remainder of 64.
The next digit of our result is 3. 
Result so far: 11083.0
The remainder is 64 after subtracting 237 from 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 7:
When dividing 640 by 79, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 11083.8
Subtracting 632 from 640 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
79 goes into 80 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11083.81
Deduct 79 from 80 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
The number 79 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11083.81
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
79 goes into 100 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 11083.8101
The remainder is 21 after subtracting 79 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
The number 79 fits into 210 2 times, leaving a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 11083.81012
Subtracting 158 from 210 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 12:
If we divide 520 by 79, we get 6 and a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 11083.810126
Subtracting 474 from 520 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
The number 79 fits into 460 5 times, leaving a remainder of 65.
The next digit of our result is 5. 
Result so far: 11083.8101265
The remainder is 65 after subtracting 395 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 14:
If we divide 650 by 79, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 11083.81012658
Deduct 632 from 650 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.

In conclusion, the division gives 11083.81012658 with a balance of 1.8e-08.