We look at the division of 114329 by 37 
Our goal is to divide 114329 by 37.

Moving on to step 1:
The number 37 fits into 1 0 times, leaving 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.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 37

Step 2:
If we divide 11 by 37, we get 0 and a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 37

Moving on to step 3:
When dividing 114 by 37, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 111 from 114 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 37

Step 4:
When dividing 33 by 37, we get 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we take 0 away from 33, we end up with 33.
Fetch the next digit (2) from the dividend, attach it to 33 and continue: 332 / 37

Moving on to step 5:
37 can be fit into 332 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 308.0
If we subtract 296 from 332, we get 36.
Append the next digit (9) from the dividend to 36 and continue with: 369 / 37

Step 6:
If we divide 369 by 37, we get 9 and a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 3089.0
Deduct 333 from 369 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 7:
37 goes into 360 9 times with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 3089.9
Deduct 333 from 360 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
270 divided by 37 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 3089.97
The remainder is 11 after subtracting 259 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
37 can be fit into 110 2 times, resulting in a remainder of 36.
The next digit of our result is 2. 
Result so far: 3089.972
Subtracting 74 from 110 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
The number 37 fits into 360 9 times, leaving a remainder of 27.
Record the quotient 9 as the next digit in the result. 
Result so far: 3089.9729
Subtract 333 from 360 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 11:
270 divided by 37 is 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 3089.97297
If we take 259 away from 270, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
If we divide 110 by 37, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 3089.972972
The remainder is 36 after subtracting 74 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 13:
37 goes into 360 9 times with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 3089.9729729
The remainder is 27 after subtracting 333 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 14:
If we divide 270 by 37, we get 7 and a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 3089.97297297
Subtract 259 from 270 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 3089.97297297 and a remainder of 1.1e-08.