We look at the division of 114669 by 84 
We want to figure out the number of times 114669 can be divided by 84.

Advancing to step 1:
The number 84 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 84

Advancing to step 2:
84 goes into 11 0 times with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 84

On to step 3:
84 goes into 114 1 times with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 84 from 114 to get 30.
Fetch the next digit (6) from the dividend, attach it to 30 and continue: 306 / 84

Going ahead to step 4:
When dividing 306 by 84, we get 3 with a remainder of 54.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 54 after subtracting 252 from 306.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 84

Advancing to step 5:
84 can be fit into 546 6 times, resulting in a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 136.0
If we subtract 504 from 546, we get 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 84

On to step 6:
The number 84 fits into 429 5 times, leaving a remainder of 9.
Write down 5 as next digit of the result. 
Result so far: 1365.0
If we take 420 away from 429, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
If we divide 90 by 84, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1365.1
Subtract 84 from 90 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.

Moving on to step 8:
If we divide 60 by 84, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 1365.1
Subtract 0 from 60 to get 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 9:
The number 84 fits into 600 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 1365.107
The remainder is 12 after subtracting 588 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
84 can be fit into 120 1 times, resulting in a remainder of 36.
The next digit of our result is 1. 
Result so far: 1365.1071
Subtract 84 from 120 to get 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 11:
If we divide 360 by 84, we get 4 and a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 1365.10714
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
The number 84 fits into 240 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 1365.107142
Subtract 168 from 240 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 13:
If we divide 720 by 84, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 1365.1071428
If we take 672 away from 720, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
If we divide 480 by 84, we get 5 and a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 1365.10714285
Deduct 420 from 480 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.

The final outcome is 1365.10714285, with a leftover of 6e-08.