11633307 divided by 114 
Our goal is to divide 11633307 by 114.

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 (1) from the dividend, attach it to 1 and continue: 11 / 114

Advancing to step 2:
114 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 114

Advancing to step 3:
116 divided by 114 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 114 from 116 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 114

Advancing to step 4:
114 goes into 23 0 times with a remainder of 23.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 23 to get 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 114

Advancing to step 5:
114 goes into 233 2 times with a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 102.0
If we subtract 228 from 233, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 114

Going ahead to step 6:
114 can be fit into 53 0 times, resulting in a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 1020.0
Deduct 0 from 53 and we're left with 53.
Grab the next digit (0) from the dividend, add it to 53, then carry on: 530 / 114

Advancing to step 7:
When dividing 530 by 114, we get 4 with a remainder of 74.
Write down 4 as next digit of the result. 
Result so far: 10204.0
If we subtract 456 from 530, we get 74.
Append the next digit (7) from the dividend to 74 and continue with: 747 / 114

Let's proceed to step 8:
114 can be fit into 747 6 times, resulting in a remainder of 63.
Record the quotient 6 as the next digit in the result. 
Result so far: 102046.0
Subtracting 684 from 747 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 9:
114 can be fit into 630 5 times, resulting in a remainder of 60.
The next digit of our result is 5. 
Result so far: 102046.5
Deduct 570 from 630 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
114 can be fit into 600 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 102046.55
Subtracting 570 from 600 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 102046.55 with a remainder of 0.03.