We look at the division of 554121 by 75 
We want to divide 554121 by 75.

Moving on to step 1:
5 divided by 75 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 75

On to step 2:
The number 75 fits into 55 0 times, leaving a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 75

On to step 3:
75 goes into 554 7 times with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 525 from 554 to get 29.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 75

On to step 4:
If we divide 291 by 75, we get 3 and a remainder of 66.
The next digit of our result is 3. 
Result so far: 73.0
Subtract 225 from 291 to get 66.
Fetch the next digit (2) from the dividend, attach it to 66 and continue: 662 / 75

Step 5:
75 goes into 662 8 times with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 738.0
Deduct 600 from 662 and we're left with 62.
Grab the next digit (1) from the dividend, add it to 62, then carry on: 621 / 75

Advancing to step 6:
When dividing 621 by 75, we get 8 with a remainder of 21.
Record the quotient 8 as the next digit in the result. 
Result so far: 7388.0
If we subtract 600 from 621, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
75 can be fit into 210 2 times, resulting in a remainder of 60.
The next digit of our result is 2. 
Result so far: 7388.2
Subtract 150 from 210 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
600 divided by 75 is 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 7388.28
If we subtract 600 from 600, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
0 divided by 75 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7388.28
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
75 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7388.28
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 7388.28 and a remainder of 0.0.