74114144 divided by 626 
Our goal is to divide 74114144 by 626.

On to step 1:
When dividing 7 by 626, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 626

Going ahead to step 2:
74 divided by 626 is 0 with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 74 after subtracting 0 from 74.
Bring next digit (1) of the dividend behind the 74 and repeat the process: 741 / 626

Moving on to step 3:
741 divided by 626 is 1 with a remainder of 115.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 626 from 741 to get 115.
Bring next digit (1) of the dividend behind the 115 and repeat the process: 1151 / 626

Moving on to step 4:
1151 divided by 626 is 1 with a remainder of 525.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 626 from 1151 and we're left with 525.
Fetch the next digit (4) from the dividend, attach it to 525 and continue: 5254 / 626

Advancing to step 5:
If we divide 5254 by 626, we get 8 and a remainder of 246.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
If we take 5008 away from 5254, we end up with 246.
Take the next digit (1) from the dividend and append it to 246, then repeat: 2461 / 626

Going ahead to step 6:
2461 divided by 626 is 3 with a remainder of 583.
Write down 3 as next digit of the result. 
Result so far: 1183.0
Subtracting 1878 from 2461 leaves us with 583.
Bring next digit (4) of the dividend behind the 583 and repeat the process: 5834 / 626

Let's proceed to step 7:
When dividing 5834 by 626, we get 9 with a remainder of 200.
The next digit of our result is 9. 
Result so far: 11839.0
The remainder is 200 after subtracting 5634 from 5834.
Grab the next digit (4) from the dividend, add it to 200, then carry on: 2004 / 626

Advancing to step 8:
The number 626 fits into 2004 3 times, leaving a remainder of 126.
Record the quotient 3 as the next digit in the result. 
Result so far: 118393.0
Deduct 1878 from 2004 and we're left with 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Going ahead to step 9:
626 goes into 1260 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 118393.2
Deduct 1252 from 1260 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
626 can be fit into 80 0 times, resulting in a remainder of 80.
The next digit of our result is 0. 
Result so far: 118393.2
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 11:
626 goes into 800 1 times with a remainder of 174.
The number 1 becomes the next digit in our result. 
Result so far: 118393.201
If we take 626 away from 800, we end up with 174.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

On to step 12:
1740 divided by 626 is 2 with a remainder of 488.
Write down 2 as next digit of the result. 
Result so far: 118393.2012
Subtract 1252 from 1740 to get 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Let's proceed to step 13:
626 goes into 4880 7 times with a remainder of 498.
Write down 7 as next digit of the result. 
Result so far: 118393.20127
If we subtract 4382 from 4880, we get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

Step 14:
626 goes into 4980 7 times with a remainder of 598.
Use 7 as the next digit of our solution. 
Result so far: 118393.201277
Deduct 4382 from 4980 and we're left with 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

In conclusion, the division gives 118393.201277 with a balance of 5.98e-05.