8073665 ÷ 679 
Our goal is to divide 8073665 by 679.

Moving on to step 1:
8 divided by 679 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 679

Going ahead to step 2:
80 divided by 679 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 80, we end up with 80.
Include the next digit (7) from the dividend after 80, then repeat: 807 / 679

Let's proceed to step 3:
679 can be fit into 807 1 times, resulting in a remainder of 128.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 679 from 807 to get 128.
Take the next digit (3) from the dividend and append it to 128, then repeat: 1283 / 679

On to step 4:
The number 679 fits into 1283 1 times, leaving a remainder of 604.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 604 after subtracting 679 from 1283.
Include the next digit (6) from the dividend after 604, then repeat: 6046 / 679

Let's proceed to step 5:
679 goes into 6046 8 times with a remainder of 614.
The next digit of our result is 8. 
Result so far: 118.0
Subtracting 5432 from 6046 leaves us with 614.
Fetch the next digit (6) from the dividend, attach it to 614 and continue: 6146 / 679

Let's proceed to step 6:
The number 679 fits into 6146 9 times, leaving a remainder of 35.
The number 9 becomes the next digit in our result. 
Result so far: 1189.0
The remainder is 35 after subtracting 6111 from 6146.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 679

Let's proceed to step 7:
If we divide 355 by 679, we get 0 and a remainder of 355.
The number 0 becomes the next digit in our result. 
Result so far: 11890.0
If we take 0 away from 355, we end up with 355.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3550, and continue the process.

Step 8:
When dividing 3550 by 679, we get 5 with a remainder of 155.
Record the quotient 5 as the next digit in the result. 
Result so far: 11890.5
If we subtract 3395 from 3550, we get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Advancing to step 9:
679 goes into 1550 2 times with a remainder of 192.
Write down 2 as next digit of the result. 
Result so far: 11890.52
If we subtract 1358 from 1550, we get 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Going ahead to step 10:
679 can be fit into 1920 2 times, resulting in a remainder of 562.
Record the quotient 2 as the next digit in the result. 
Result so far: 11890.522
Deduct 1358 from 1920 and we're left with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

The quotient of the division is 11890.522, and the remainder is 0.0562.