641903 ÷ 79 
Our goal is to divide 641903 by 79.

Let's proceed to step 1:
6 divided by 79 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 79

On to step 2:
79 goes into 64 0 times with a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 79

Step 3:
79 goes into 641 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 9 after subtracting 632 from 641.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 79

Let's proceed to step 4:
The number 79 fits into 99 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 81.0
Subtract 79 from 99 to get 20.
Include the next digit (0) from the dividend after 20, then repeat: 200 / 79

On to step 5:
The number 79 fits into 200 2 times, leaving a remainder of 42.
The number 2 becomes the next digit in our result. 
Result so far: 812.0
Subtract 158 from 200 to get 42.
Fetch the next digit (3) from the dividend, attach it to 42 and continue: 423 / 79

Let's proceed to step 6:
If we divide 423 by 79, we get 5 and a remainder of 28.
The next digit of our result is 5. 
Result so far: 8125.0
If we take 395 away from 423, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
280 divided by 79 is 3 with a remainder of 43.
The next digit of our result is 3. 
Result so far: 8125.3
If we subtract 237 from 280, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 8:
The number 79 fits into 430 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 8125.35
If we take 395 away from 430, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 9:
79 goes into 350 4 times with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 8125.354
Subtracting 316 from 350 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
If we divide 340 by 79, we get 4 and a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 8125.3544
Subtracting 316 from 340 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 8125.3544, and the remainder is 0.00024.