We look at the division of 553123 by 43 
We want to divide 553123 by 43.

Moving on to step 1:
If we divide 5 by 43, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 43

Step 2:
The number 43 fits into 55 1 times, leaving a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 43 from 55 and we're left with 12.
Take the next digit (3) from the dividend and append it to 12, then repeat: 123 / 43

Moving on to step 3:
43 goes into 123 2 times with a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 86 from 123 to get 37.
Fetch the next digit (1) from the dividend, attach it to 37 and continue: 371 / 43

On to step 4:
43 goes into 371 8 times with a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 128.0
If we subtract 344 from 371, we get 27.
Take the next digit (2) from the dividend and append it to 27, then repeat: 272 / 43

Step 5:
43 goes into 272 6 times with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 1286.0
If we take 258 away from 272, we end up with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 43

Moving on to step 6:
The number 43 fits into 143 3 times, leaving a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 12863.0
If we take 129 away from 143, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
43 goes into 140 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 12863.3
Subtracting 129 from 140 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
If we divide 110 by 43, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 12863.32
The remainder is 24 after subtracting 86 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 9:
The number 43 fits into 240 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 12863.325
Subtracting 215 from 240 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.

On to step 10:
If we divide 250 by 43, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 12863.3255
Subtract 215 from 250 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 12863.3255 with a remaining 0.00035.