We look at the division of 553678 by 76 
We want to divide 553678 by 76.

Step 1:
5 divided by 76 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 76

Moving on to step 2:
76 can be fit into 55 0 times, resulting in a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 76

Step 3:
The number 76 fits into 553 7 times, leaving a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 532 away from 553, we end up with 21.
Append the next digit (6) from the dividend to 21 and continue with: 216 / 76

On to step 4:
76 can be fit into 216 2 times, resulting in a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 72.0
If we take 152 away from 216, we end up with 64.
Grab the next digit (7) from the dividend, add it to 64, then carry on: 647 / 76

Going ahead to step 5:
The number 76 fits into 647 8 times, leaving a remainder of 39.
The number 8 becomes the next digit in our result. 
Result so far: 728.0
The remainder is 39 after subtracting 608 from 647.
Bring next digit (8) of the dividend behind the 39 and repeat the process: 398 / 76

Going ahead to step 6:
If we divide 398 by 76, we get 5 and a remainder of 18.
The next digit of our result is 5. 
Result so far: 7285.0
If we subtract 380 from 398, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
180 divided by 76 is 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 7285.2
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
280 divided by 76 is 3 with a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 7285.23
Subtract 228 from 280 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
76 can be fit into 520 6 times, resulting in a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 7285.236
Subtracting 456 from 520 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
640 divided by 76 is 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 7285.2368
If we subtract 608 from 640, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
The number 76 fits into 320 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 7285.23684
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
The number 76 fits into 160 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7285.236842
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
The number 76 fits into 80 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 7285.2368421
Deduct 76 from 80 and we're left with 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 14:
The number 76 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 7285.2368421
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7285.2368421 with a balance of 4e-08.