We look at the division of 342538 by 45 
Let's see how many times 45 fits into 342538.

Going ahead to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 45

On to step 2:
45 can be fit into 34 0 times, resulting in a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 45

Moving on to step 3:
45 can be fit into 342 7 times, resulting in a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 315 from 342 and we're left with 27.
Bring next digit (5) of the dividend behind the 27 and repeat the process: 275 / 45

Advancing to step 4:
275 divided by 45 is 6 with a remainder of 5.
The next digit of our result is 6. 
Result so far: 76.0
If we take 270 away from 275, we end up with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 45

On to step 5:
When dividing 53 by 45, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 761.0
Subtract 45 from 53 to get 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 45

On to step 6:
When dividing 88 by 45, we get 1 with a remainder of 43.
Write down 1 as next digit of the result. 
Result so far: 7611.0
If we take 45 away from 88, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
The number 45 fits into 430 9 times, leaving a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 7611.9
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 7611.95
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.

Advancing to step 9:
If we divide 250 by 45, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 7611.955
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.

Our division results in 7611.955 with a remaining 0.0025.