Let's divide 17419421 by 114
Our goal is to divide 17419421 by 114.

On to step 1:
If we divide 1 by 114, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 114

Advancing to step 2:
114 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Bring next digit (4) of the dividend behind the 17 and repeat the process: 174 / 114

On to step 3:
114 can be fit into 174 1 times, resulting in a remainder of 60.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 114 away from 174, we end up with 60.
Include the next digit (1) from the dividend after 60, then repeat: 601 / 114

Step 4:
When dividing 601 by 114, we get 5 with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 15.0
Subtracting 570 from 601 leaves us with 31.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 114

Advancing to step 5:
114 can be fit into 319 2 times, resulting in a remainder of 91.
Write down 2 as next digit of the result. 
Result so far: 152.0
If we subtract 228 from 319, we get 91.
Fetch the next digit (4) from the dividend, attach it to 91 and continue: 914 / 114

Going ahead to step 6:
114 goes into 914 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1528.0
The remainder is 2 after subtracting 912 from 914.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 114

Moving on to step 7:
114 goes into 22 0 times with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 15280.0
If we subtract 0 from 22, we get 22.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 114

Step 8:
When dividing 221 by 114, we get 1 with a remainder of 107.
Write down 1 as next digit of the result. 
Result so far: 152801.0
Deduct 114 from 221 and we're left with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

On to step 9:
The number 114 fits into 1070 9 times, leaving a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 152801.9
Subtracting 1026 from 1070 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 10:
If we divide 440 by 114, we get 3 and a remainder of 98.
Write down 3 as next digit of the result. 
Result so far: 152801.93
Subtract 342 from 440 to get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 11:
114 can be fit into 980 8 times, resulting in a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 152801.938
The remainder is 68 after subtracting 912 from 980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 12:
114 goes into 680 5 times with a remainder of 110.
The next digit of our result is 5. 
Result so far: 152801.9385
Deduct 570 from 680 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Moving on to step 13:
1100 divided by 114 is 9 with a remainder of 74.
The number 9 becomes the next digit in our result. 
Result so far: 152801.93859
If we take 1026 away from 1100, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 14:
114 goes into 740 6 times with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 152801.938596
Deduct 684 from 740 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 15:
114 can be fit into 560 4 times, resulting in a remainder of 104.
Put 4 as the next digit of the answer. 
Result so far: 152801.9385964
If we take 456 away from 560, we end up with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Advancing to step 16:
114 can be fit into 1040 9 times, resulting in a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 152801.93859649
Subtracting 1026 from 1040 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 152801.93859649 with a remainder of 1.4e-08.