We're dividing 114946 by 14 
We're looking to find how many times 14 goes into 114946.

Advancing to step 1:
If we divide 1 by 14, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 14

Let's proceed to step 2:
The number 14 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 14

Going ahead to step 3:
The number 14 fits into 114 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 112 from 114, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 14

Step 4:
If we divide 29 by 14, we get 2 and a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
The remainder is 1 after subtracting 28 from 29.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 14

On to step 5:
If we divide 14 by 14, we get 1 and a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 821.0
Subtract 14 from 14 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 14

Moving on to step 6:
14 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 8210.0
If we subtract 0 from 6, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 14, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 8210.4
If we take 56 away from 60, 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.

Step 8:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 8210.42
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 8210.428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
14 goes into 80 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 8210.4285
Subtract 70 from 80 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 11:
If we divide 100 by 14, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 8210.42857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 12:
If we divide 20 by 14, we get 1 and a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 8210.428571
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 8210.4285714
Deduct 56 from 60 and we're left 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.

Let's proceed to step 14:
If we divide 40 by 14, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 8210.42857142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 8210.42857142, and the remainder is 1.2e-08.