We're dividing 553137 by 45 
We want to divide 553137 by 45.

On to step 1:
If we divide 5 by 45, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 45

On to step 2:
When dividing 55 by 45, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 55 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 45

Moving on to step 3:
103 divided by 45 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 13 after subtracting 90 from 103.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 45

Advancing to step 4:
131 divided by 45 is 2 with a remainder of 41.
The next digit of our result is 2. 
Result so far: 122.0
Deduct 90 from 131 and we're left with 41.
Bring next digit (3) of the dividend behind the 41 and repeat the process: 413 / 45

Moving on to step 5:
When dividing 413 by 45, we get 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 1229.0
If we subtract 405 from 413, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 45

Going ahead to step 6:
When dividing 87 by 45, we get 1 with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 12291.0
Deduct 45 from 87 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
If we divide 420 by 45, we get 9 and a remainder of 15.
The next digit of our result is 9. 
Result so far: 12291.9
Subtract 405 from 420 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 12291.93
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
150 divided by 45 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 12291.933
If we subtract 135 from 150, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 12291.933 with a remainder of 0.0015.