Let's divide 218579 by 16
We want to divide 218579 by 16.

Advancing to step 1:
16 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 16

Advancing to step 2:
21 divided by 16 is 1 with a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 5 after subtracting 16 from 21.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 16

Moving on to step 3:
The number 16 fits into 58 3 times, leaving a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 48 away from 58, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 16

Moving on to step 4:
16 goes into 105 6 times with a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 136.0
Deduct 96 from 105 and we're left with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 16

Step 5:
16 goes into 97 6 times with a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 1366.0
If we subtract 96 from 97, we get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 16

On to step 6:
When dividing 19 by 16, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 13661.0
Deduct 16 from 19 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
When dividing 30 by 16, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 13661.1
Subtracting 16 from 30 leaves us 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.

Step 8:
The number 16 fits into 140 8 times, leaving a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 13661.18
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 9:
120 divided by 16 is 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 13661.187
Subtracting 112 from 120 leaves us 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.

Going ahead to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 13661.1875
Subtract 80 from 80 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 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 13661.1875
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 12:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13661.1875
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 final outcome is 13661.1875, with a leftover of 0.0.