641317 ÷ 479 
We want to figure out the number of times 641317 can be divided by 479.

On to step 1:
If we divide 6 by 479, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 479

Going ahead to step 2:
479 goes into 64 0 times with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 479

Moving on to step 3:
479 goes into 641 1 times with a remainder of 162.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 479 from 641, we get 162.
Fetch the next digit (3) from the dividend, attach it to 162 and continue: 1623 / 479

Step 4:
If we divide 1623 by 479, we get 3 and a remainder of 186.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 1437 from 1623 to get 186.
Include the next digit (1) from the dividend after 186, then repeat: 1861 / 479

Going ahead to step 5:
When dividing 1861 by 479, we get 3 with a remainder of 424.
The next digit of our result is 3. 
Result so far: 133.0
Subtract 1437 from 1861 to get 424.
Append the next digit (7) from the dividend to 424 and continue with: 4247 / 479

Step 6:
4247 divided by 479 is 8 with a remainder of 415.
Write down 8 as next digit of the result. 
Result so far: 1338.0
Subtract 3832 from 4247 to get 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

On to step 7:
When dividing 4150 by 479, we get 8 with a remainder of 318.
Put 8 as the next digit of the answer. 
Result so far: 1338.8
If we take 3832 away from 4150, we end up with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

On to step 8:
3180 divided by 479 is 6 with a remainder of 306.
Put 6 as the next digit of the answer. 
Result so far: 1338.86
If we subtract 2874 from 3180, we get 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Moving on to step 9:
When dividing 3060 by 479, we get 6 with a remainder of 186.
Put 6 as the next digit of the answer. 
Result so far: 1338.866
The remainder is 186 after subtracting 2874 from 3060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

The final outcome is 1338.866, with a leftover of 0.0186.