We look at the division of 874303 by 16 
We want to figure out the number of times 874303 can be divided by 16.

Going ahead to step 1:
The number 16 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 16

Step 2:
16 goes into 87 5 times with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 80 from 87 and we're left with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 16

Step 3:
16 goes into 74 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 54.0
Deduct 64 from 74 and we're left with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 16

Moving on to step 4:
103 divided by 16 is 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 546.0
If we subtract 96 from 103, we get 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 16

Step 5:
If we divide 70 by 16, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 5464.0
Subtracting 64 from 70 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 16

Step 6:
16 goes into 63 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 54643.0
The remainder is 15 after subtracting 48 from 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
16 goes into 150 9 times with a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 54643.9
The remainder is 6 after subtracting 144 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
60 divided by 16 is 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 54643.93
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
16 goes into 120 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 54643.937
Subtract 112 from 120 to get 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:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 54643.9375
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 54643.9375
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 54643.9375
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 54643.9375 with a remaining 0.0.