We're dividing 554174 by 52 
We want to figure out the number of times 554174 can be divided by 52.

Advancing to step 1:
52 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 52

Step 2:
55 divided by 52 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 52 from 55, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 52

Moving on to step 3:
If we divide 34 by 52, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 34, we get 34.
Append the next digit (1) from the dividend to 34 and continue with: 341 / 52

On to step 4:
If we divide 341 by 52, we get 6 and a remainder of 29.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we subtract 312 from 341, we get 29.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 52

On to step 5:
52 goes into 297 5 times with a remainder of 37.
The next digit of our result is 5. 
Result so far: 1065.0
Subtract 260 from 297 to get 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 52

Let's proceed to step 6:
52 can be fit into 374 7 times, resulting in a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 10657.0
Subtract 364 from 374 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 52 fits into 100 1 times, leaving a remainder of 48.
Use 1 as the next digit of our solution. 
Result so far: 10657.1
The remainder is 48 after subtracting 52 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
480 divided by 52 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 10657.19
Deduct 468 from 480 and we're left 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.

Moving on to step 9:
When dividing 120 by 52, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 10657.192
Subtracting 104 from 120 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
52 can be fit into 160 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 10657.1923
If we subtract 156 from 160, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 11:
The number 52 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 10657.1923
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 12:
52 can be fit into 400 7 times, resulting in a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 10657.192307
If we take 364 away from 400, we end up 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.

Let's proceed to step 13:
The number 52 fits into 360 6 times, leaving a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 10657.1923076
The remainder is 48 after subtracting 312 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 14:
If we divide 480 by 52, we get 9 and a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 10657.19230769
Deduct 468 from 480 and we're left 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.

The final outcome is 10657.19230769, with a leftover of 1.2e-08.