We're dividing 633641 by 93 
We want to divide 633641 by 93.

On to step 1:
6 divided by 93 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 93

Let's proceed to step 2:
When dividing 63 by 93, we get 0 with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Fetch the next digit (3) from the dividend, attach it to 63 and continue: 633 / 93

Step 3:
The number 93 fits into 633 6 times, leaving a remainder of 75.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 558 from 633 and we're left with 75.
Include the next digit (6) from the dividend after 75, then repeat: 756 / 93

Moving on to step 4:
93 goes into 756 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 744 from 756 and we're left with 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 93

Moving on to step 5:
124 divided by 93 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 681.0
The remainder is 31 after subtracting 93 from 124.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 93

Let's proceed to step 6:
When dividing 311 by 93, we get 3 with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 6813.0
If we take 279 away from 311, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
When dividing 320 by 93, we get 3 with a remainder of 41.
Put 3 as the next digit of the answer. 
Result so far: 6813.3
Subtracting 279 from 320 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
When dividing 410 by 93, we get 4 with a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 6813.34
If we take 372 away from 410, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 9:
93 goes into 380 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6813.344
If we take 372 away from 380, we end up 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.

After the division, we end up with 6813.344 and a remainder of 0.0008.