We're dividing 45135 by 42 
We're looking to find how many times 42 goes into 45135.

On to step 1:
The number 42 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 42

Step 2:
The number 42 fits into 45 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 42 from 45 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 42

Going ahead to step 3:
42 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 31 to get 31.
Grab the next digit (3) from the dividend, add it to 31, then carry on: 313 / 42

Step 4:
The number 42 fits into 313 7 times, leaving a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 107.0
If we take 294 away from 313, we end up with 19.
Fetch the next digit (5) from the dividend, attach it to 19 and continue: 195 / 42

On to step 5:
The number 42 fits into 195 4 times, leaving a remainder of 27.
Use 4 as the next digit of our solution. 
Result so far: 1074.0
Deduct 168 from 195 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
270 divided by 42 is 6 with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 1074.6
If we take 252 away from 270, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 1074.64
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 42, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 1074.642
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
42 can be fit into 360 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 1074.6428
If we take 336 away from 360, we end up 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.

Advancing to step 10:
42 can be fit into 240 5 times, resulting in a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 1074.64285
If we take 210 away from 240, 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.

Advancing to step 11:
If we divide 300 by 42, we get 7 and a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 1074.642857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1074.6428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
42 can be fit into 180 4 times, resulting in a remainder of 12.
The next digit of our result is 4. 
Result so far: 1074.64285714
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 1074.64285714 with a remaining 1.2e-08.