Let's divide 100623 by 798
We're looking to find how many times 798 goes into 100623.

On to step 1:
If we divide 1 by 798, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 798

Step 2:
798 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (0) from the dividend and append it to 10, then repeat: 100 / 798

Going ahead to step 3:
If we divide 100 by 798, we get 0 and a remainder of 100.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 100, we get 100.
Bring next digit (6) of the dividend behind the 100 and repeat the process: 1006 / 798

Going ahead to step 4:
1006 divided by 798 is 1 with a remainder of 208.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 208 after subtracting 798 from 1006.
Grab the next digit (2) from the dividend, add it to 208, then carry on: 2082 / 798

Going ahead to step 5:
798 goes into 2082 2 times with a remainder of 486.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 1596 from 2082, we get 486.
Fetch the next digit (3) from the dividend, attach it to 486 and continue: 4863 / 798

Moving on to step 6:
798 goes into 4863 6 times with a remainder of 75.
Use 6 as the next digit of our solution. 
Result so far: 126.0
Deduct 4788 from 4863 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 7:
If we divide 750 by 798, we get 0 and a remainder of 750.
Put 0 as the next digit of the answer. 
Result so far: 126.0
The remainder is 750 after subtracting 0 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7500, and continue the process.

Let's proceed to step 8:
When dividing 7500 by 798, we get 9 with a remainder of 318.
Record the quotient 9 as the next digit in the result. 
Result so far: 126.09
Subtracting 7182 from 7500 leaves us with 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Going ahead to step 9:
When dividing 3180 by 798, we get 3 with a remainder of 786.
Record the quotient 3 as the next digit in the result. 
Result so far: 126.093
Subtract 2394 from 3180 to get 786.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7860, and continue the process.

Let's proceed to step 10:
7860 divided by 798 is 9 with a remainder of 678.
Record the quotient 9 as the next digit in the result. 
Result so far: 126.0939
Subtracting 7182 from 7860 leaves us with 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

Let's proceed to step 11:
6780 divided by 798 is 8 with a remainder of 396.
Use 8 as the next digit of our solution. 
Result so far: 126.09398
Subtract 6384 from 6780 to get 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Moving on to step 12:
798 can be fit into 3960 4 times, resulting in a remainder of 768.
Use 4 as the next digit of our solution. 
Result so far: 126.093984
The remainder is 768 after subtracting 3192 from 3960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7680, and continue the process.

Step 13:
798 goes into 7680 9 times with a remainder of 498.
Use 9 as the next digit of our solution. 
Result so far: 126.0939849
If we subtract 7182 from 7680, 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.

Going ahead to step 14:
When dividing 4980 by 798, we get 6 with a remainder of 192.
Write down 6 as next digit of the result. 
Result so far: 126.09398496
Deduct 4788 from 4980 and we're left with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

The final result is 126.09398496 with a remainder of 1.92e-07.