We look at the division of 75335 by 147 
We want to divide 75335 by 147.

Going ahead to step 1:
147 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 147

Going ahead to step 2:
If we divide 75 by 147, we get 0 and a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 147

Step 3:
The number 147 fits into 753 5 times, leaving a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 735 away from 753, we end up with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 147

Let's proceed to step 4:
183 divided by 147 is 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we subtract 147 from 183, we get 36.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 147

Moving on to step 5:
If we divide 365 by 147, we get 2 and a remainder of 71.
The next digit of our result is 2. 
Result so far: 512.0
Deduct 294 from 365 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 6:
147 can be fit into 710 4 times, resulting in a remainder of 122.
The next digit of our result is 4. 
Result so far: 512.4
The remainder is 122 after subtracting 588 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Step 7:
1220 divided by 147 is 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 512.48
If we take 1176 away from 1220, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
The number 147 fits into 440 2 times, leaving a remainder of 146.
Use 2 as the next digit of our solution. 
Result so far: 512.482
Deduct 294 from 440 and we're left with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

On to step 9:
When dividing 1460 by 147, we get 9 with a remainder of 137.
Use 9 as the next digit of our solution. 
Result so far: 512.4829
Subtracting 1323 from 1460 leaves us with 137.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Let's proceed to step 10:
147 goes into 1370 9 times with a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 512.48299
If we take 1323 away from 1370, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

The quotient of the division is 512.48299, and the remainder is 4.7e-05.