87838 divided by 16 
We want to divide 87838 by 16.

Step 1:
16 can be fit into 8 0 times, resulting in a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 16

Let's proceed to step 2:
The number 16 fits into 87 5 times, leaving a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 80 away from 87, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 16

Advancing to step 3:
16 goes into 78 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 54.0
If we take 64 away from 78, we end up with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 16

Going ahead to step 4:
The number 16 fits into 143 8 times, leaving a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 548.0
Subtract 128 from 143 to get 15.
Grab the next digit (8) from the dividend, add it to 15, then carry on: 158 / 16

Going ahead to step 5:
16 goes into 158 9 times with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 5489.0
If we take 144 away from 158, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 6:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 5489.8
If we subtract 128 from 140, we get 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:
The number 16 fits into 120 7 times, leaving a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 5489.87
Deduct 112 from 120 and we're left 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 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5489.875
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.

Step 9:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 5489.875
Subtract 0 from 0 to 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.

Going ahead to step 10:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5489.875
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.

The quotient of the division is 5489.875, and the remainder is 0.0.