Let's divide 47633 by 75
Our goal is to divide 47633 by 75.

On to step 1:
If we divide 4 by 75, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 75

Moving on to step 2:
47 divided by 75 is 0 with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Include the next digit (6) from the dividend after 47, then repeat: 476 / 75

Let's proceed to step 3:
476 divided by 75 is 6 with a remainder of 26.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 26 after subtracting 450 from 476.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 75

Going ahead to step 4:
If we divide 263 by 75, we get 3 and a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 63.0
Deduct 225 from 263 and we're left with 38.
Grab the next digit (3) from the dividend, add it to 38, then carry on: 383 / 75

Going ahead to step 5:
383 divided by 75 is 5 with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 635.0
Subtract 375 from 383 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.

Let's proceed to step 6:
75 goes into 80 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 635.1
Subtract 75 from 80 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
75 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 635.1
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 635.106
Subtracting 450 from 500 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 635.1066
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 635.1066, and the remainder is 0.0005.