We look at the division of 532633 by 35 
We want to divide 532633 by 35.

Advancing to step 1:
35 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 35

Going ahead to step 2:
53 divided by 35 is 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 35 from 53 to get 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 35

On to step 3:
35 can be fit into 182 5 times, resulting in a remainder of 7.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 7 after subtracting 175 from 182.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 35

Step 4:
35 goes into 76 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 152.0
Deduct 70 from 76 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 35

Going ahead to step 5:
The number 35 fits into 63 1 times, leaving a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1521.0
Subtract 35 from 63 to get 28.
Grab the next digit (3) from the dividend, add it to 28, then carry on: 283 / 35

Step 6:
35 goes into 283 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 15218.0
The remainder is 3 after subtracting 280 from 283.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
The number 35 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 15218.0
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 15218.08
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
If we divide 200 by 35, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 15218.085
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
35 goes into 250 7 times with a remainder of 5.
The next digit of our result is 7. 
Result so far: 15218.0857
Subtract 245 from 250 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.

Going ahead to step 11:
If we divide 50 by 35, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 15218.08571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 12:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 15218.085714
If we take 140 away from 150, we end up with 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 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 15218.0857142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 15218.08571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 15218.08571428, and the remainder is 2e-08.