155335 ÷ 75 
We're looking to find how many times 75 goes into 155335.

Going ahead to step 1:
1 divided by 75 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 75

Going ahead to step 2:
When dividing 15 by 75, we get 0 with a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 75

Advancing to step 3:
75 goes into 155 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 5 after subtracting 150 from 155.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 75

On to step 4:
When dividing 53 by 75, we get 0 with a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 53 leaves us with 53.
Bring next digit (3) of the dividend behind the 53 and repeat the process: 533 / 75

Advancing to step 5:
75 goes into 533 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 207.0
Subtracting 525 from 533 leaves us with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 75

Advancing to step 6:
75 can be fit into 85 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 2071.0
If we take 75 away from 85, 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.

On to step 7:
75 can be fit into 100 1 times, resulting in a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 2071.1
Subtracting 75 from 100 leaves us with 25.
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 8:
If we divide 250 by 75, we get 3 and a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 2071.13
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 2071.133
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

The quotient of the division is 2071.133, and the remainder is 0.0025.