We divide 114292 by 39
We want to divide 114292 by 39.

Advancing to step 1:
If we divide 1 by 39, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 39

Step 2:
If we divide 11 by 39, we get 0 and a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 39

Step 3:
The number 39 fits into 114 2 times, leaving a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 78 from 114, we get 36.
Append the next digit (2) from the dividend to 36 and continue with: 362 / 39

Let's proceed to step 4:
39 can be fit into 362 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 29.0
If we take 351 away from 362, we end up with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 39

Step 5:
When dividing 119 by 39, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 293.0
Deduct 117 from 119 and we're left with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 39

Step 6:
39 goes into 22 0 times with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 2930.0
Deduct 0 from 22 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
39 goes into 220 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2930.5
Deduct 195 from 220 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
If we divide 250 by 39, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 2930.56
If we subtract 234 from 250, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
160 divided by 39 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 2930.564
If we take 156 away from 160, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 10:
When dividing 40 by 39, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 2930.5641
Subtract 39 from 40 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
If we divide 10 by 39, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 2930.5641
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
If we divide 100 by 39, we get 2 and a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 2930.564102
If we take 78 away from 100, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 13:
The number 39 fits into 220 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2930.5641025
Subtract 195 from 220 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 14:
39 can be fit into 250 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 2930.56410256
If we take 234 away from 250, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 2930.56410256 with a balance of 1.6e-08.