We look at the division of 556123 by 74 
Let's see how many times 74 fits into 556123.

Advancing to step 1:
If we divide 5 by 74, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 74

Going ahead to step 2:
If we divide 55 by 74, we get 0 and a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 74

On to step 3:
556 divided by 74 is 7 with a remainder of 38.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 518 from 556 leaves us with 38.
Append the next digit (1) from the dividend to 38 and continue with: 381 / 74

Advancing to step 4:
74 can be fit into 381 5 times, resulting in a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 75.0
Subtract 370 from 381 to get 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 74

Going ahead to step 5:
74 goes into 112 1 times with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 751.0
The remainder is 38 after subtracting 74 from 112.
Grab the next digit (3) from the dividend, add it to 38, then carry on: 383 / 74

Step 6:
The number 74 fits into 383 5 times, leaving a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 7515.0
The remainder is 13 after subtracting 370 from 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
The number 74 fits into 130 1 times, leaving a remainder of 56.
The number 1 becomes the next digit in our result. 
Result so far: 7515.1
Subtract 74 from 130 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 8:
The number 74 fits into 560 7 times, leaving a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 7515.17
If we take 518 away from 560, we end up 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.

Step 9:
420 divided by 74 is 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7515.175
Subtracting 370 from 420 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
74 can be fit into 500 6 times, resulting in a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 7515.1756
If we subtract 444 from 500, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 11:
74 goes into 560 7 times with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 7515.17567
Deduct 518 from 560 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.

Step 12:
The number 74 fits into 420 5 times, leaving a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 7515.175675
Deduct 370 from 420 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
500 divided by 74 is 6 with a remainder of 56.
The next digit of our result is 6. 
Result so far: 7515.1756756
The remainder is 56 after subtracting 444 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 14:
The number 74 fits into 560 7 times, leaving a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 7515.17567567
Subtract 518 from 560 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 7515.17567567, with a leftover of 4.2e-08.