We're dividing 84078 by 16 
Our goal is to divide 84078 by 16.

Let's proceed to step 1:
16 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 16

Step 2:
16 goes into 84 5 times with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 80 from 84 leaves us with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 16

Going ahead to step 3:
If we divide 40 by 16, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Deduct 32 from 40 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 16

Advancing to step 4:
If we divide 87 by 16, we get 5 and a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 525.0
Subtract 80 from 87 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 16

Let's proceed to step 5:
The number 16 fits into 78 4 times, leaving a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 5254.0
The remainder is 14 after subtracting 64 from 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 6:
If we divide 140 by 16, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 5254.8
If we take 128 away from 140, 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.

On to step 7:
If we divide 120 by 16, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 5254.87
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 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: 5254.875
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.

Step 9:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5254.875
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.

Step 10:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5254.875
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.

After the division, we end up with 5254.875 and a remainder of 0.0.