We look at the division of 10300 by 84 
We want to figure out the number of times 10300 can be divided by 84.

Step 1:
84 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 84

Moving on to step 2:
84 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 84

Advancing to step 3:
84 goes into 103 1 times with a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 19 after subtracting 84 from 103.
Grab the next digit (0) from the dividend, add it to 19, then carry on: 190 / 84

Let's proceed to step 4:
When dividing 190 by 84, we get 2 with a remainder of 22.
The next digit of our result is 2. 
Result so far: 12.0
Subtracting 168 from 190 leaves us with 22.
Include the next digit (0) from the dividend after 22, then repeat: 220 / 84

Let's proceed to step 5:
220 divided by 84 is 2 with a remainder of 52.
The next digit of our result is 2. 
Result so far: 122.0
Subtract 168 from 220 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 6:
520 divided by 84 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 122.6
Subtract 504 from 520 to 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.

Advancing to step 7:
The number 84 fits into 160 1 times, leaving a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 122.61
If we take 84 away from 160, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 8:
When dividing 760 by 84, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 122.619
Subtract 756 from 760 to get 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 9:
84 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 122.619
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
If we divide 400 by 84, we get 4 and a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 122.61904
The remainder is 64 after subtracting 336 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 11:
If we divide 640 by 84, we get 7 and a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 122.619047
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 12:
The number 84 fits into 520 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 122.6190476
The remainder is 16 after subtracting 504 from 520.
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 13:
When dividing 160 by 84, we get 1 with a remainder of 76.
Put 1 as the next digit of the answer. 
Result so far: 122.61904761
Deduct 84 from 160 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

The final outcome is 122.61904761, with a leftover of 7.6e-08.