Let's divide 327633 by 46
We want to divide 327633 by 46.

Advancing to step 1:
46 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 46

Advancing to step 2:
46 can be fit into 32 0 times, resulting in a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 32 to get 32.
Grab the next digit (7) from the dividend, add it to 32, then carry on: 327 / 46

Moving on to step 3:
The number 46 fits into 327 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 5 after subtracting 322 from 327.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 46

Advancing to step 4:
56 divided by 46 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtracting 46 from 56 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 46

On to step 5:
103 divided by 46 is 2 with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 712.0
Deduct 92 from 103 and we're left with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 46

Advancing to step 6:
When dividing 113 by 46, we get 2 with a remainder of 21.
Write down 2 as next digit of the result. 
Result so far: 7122.0
If we take 92 away from 113, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
The number 46 fits into 210 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 7122.4
Subtract 184 from 210 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
46 can be fit into 260 5 times, resulting in a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 7122.45
If we subtract 230 from 260, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
46 goes into 300 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 7122.456
Deduct 276 from 300 and we're left 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.

On to step 10:
46 goes into 240 5 times with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7122.4565
If we subtract 230 from 240, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 46 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7122.45652
Subtract 92 from 100 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 12:
If we divide 80 by 46, we get 1 and a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 7122.456521
Subtracting 46 from 80 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 13:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 7122.4565217
If we subtract 322 from 340, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
If we divide 180 by 46, we get 3 and a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 7122.45652173
Deduct 138 from 180 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 7122.45652173 with a remainder of 4.2e-08.