Let's divide 71878 by 16
Our goal is to divide 71878 by 16.

Step 1:
16 can be fit into 7 0 times, resulting in a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 16

Let's proceed to step 2:
16 can be fit into 71 4 times, resulting in a remainder of 7.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 64 from 71 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 16

Going ahead to step 3:
16 goes into 78 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 44.0
Subtract 64 from 78 to get 14.
Append the next digit (7) from the dividend to 14 and continue with: 147 / 16

Advancing to step 4:
147 divided by 16 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 449.0
Subtracting 144 from 147 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 16

Advancing to step 5:
When dividing 38 by 16, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 4492.0
The remainder is 6 after subtracting 32 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 6:
The number 16 fits into 60 3 times, leaving a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 4492.3
The remainder is 12 after subtracting 48 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
120 divided by 16 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 4492.37
If we take 112 away from 120, we end up 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.

Moving on to step 8:
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: 4492.375
If we take 80 away from 80, 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.

Let's proceed to step 9:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4492.375
Deduct 0 from 0 and we're left 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.

Let's proceed to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 4492.375
Subtracting 0 from 0 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.

The quotient of the division is 4492.375, and the remainder is 0.0.