501796 ÷ 633 
We want to divide 501796 by 633.

Step 1:
633 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 633

Moving on to step 2:
If we divide 50 by 633, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Bring next digit (1) of the dividend behind the 50 and repeat the process: 501 / 633

On to step 3:
When dividing 501 by 633, we get 0 with a remainder of 501.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 501, we get 501.
Grab the next digit (7) from the dividend, add it to 501, then carry on: 5017 / 633

Moving on to step 4:
633 can be fit into 5017 7 times, resulting in a remainder of 586.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 586 after subtracting 4431 from 5017.
Include the next digit (9) from the dividend after 586, then repeat: 5869 / 633

Advancing to step 5:
If we divide 5869 by 633, we get 9 and a remainder of 172.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Subtract 5697 from 5869 to get 172.
Bring next digit (6) of the dividend behind the 172 and repeat the process: 1726 / 633

On to step 6:
633 goes into 1726 2 times with a remainder of 460.
Put 2 as the next digit of the answer. 
Result so far: 792.0
If we subtract 1266 from 1726, we get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

On to step 7:
633 goes into 4600 7 times with a remainder of 169.
Write down 7 as next digit of the result. 
Result so far: 792.7
If we take 4431 away from 4600, we end up with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

Let's proceed to step 8:
633 goes into 1690 2 times with a remainder of 424.
The number 2 becomes the next digit in our result. 
Result so far: 792.72
Subtract 1266 from 1690 to get 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Let's proceed to step 9:
633 can be fit into 4240 6 times, resulting in a remainder of 442.
The number 6 becomes the next digit in our result. 
Result so far: 792.726
If we subtract 3798 from 4240, we get 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

On to step 10:
If we divide 4420 by 633, we get 6 and a remainder of 622.
The number 6 becomes the next digit in our result. 
Result so far: 792.7266
If we subtract 3798 from 4420, we get 622.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6220, and continue the process.

Our division results in 792.7266 with a remaining 0.00622.