We're dividing 514303 by 48 
We want to figure out the number of times 514303 can be divided by 48.

Moving on to step 1:
When dividing 5 by 48, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 48

Moving on to step 2:
51 divided by 48 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 48 from 51 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 48

Advancing to step 3:
34 divided by 48 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 34 to get 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 48

Moving on to step 4:
343 divided by 48 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 107.0
Subtract 336 from 343 to get 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 48

Moving on to step 5:
When dividing 70 by 48, we get 1 with a remainder of 22.
The next digit of our result is 1. 
Result so far: 1071.0
Subtracting 48 from 70 leaves us with 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 48

Moving on to step 6:
The number 48 fits into 223 4 times, leaving a remainder of 31.
Write down 4 as next digit of the result. 
Result so far: 10714.0
Deduct 192 from 223 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
The number 48 fits into 310 6 times, leaving a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 10714.6
Subtract 288 from 310 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
If we divide 220 by 48, we get 4 and a remainder of 28.
The next digit of our result is 4. 
Result so far: 10714.64
Subtract 192 from 220 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
48 goes into 280 5 times with a remainder of 40.
The next digit of our result is 5. 
Result so far: 10714.645
Subtract 240 from 280 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 10:
48 can be fit into 400 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 10714.6458
If we subtract 384 from 400, 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.

Advancing to step 11:
48 can be fit into 160 3 times, resulting in a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 10714.64583
Subtracting 144 from 160 leaves us 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.

Moving on to step 12:
If we divide 160 by 48, we get 3 and a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 10714.645833
Subtract 144 from 160 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.

The final result is 10714.645833 with a remainder of 1.6e-06.