We're dividing 18674 by 21 
We want to figure out the number of times 18674 can be divided by 21.

On to step 1:
If we divide 1 by 21, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 21

Advancing to step 2:
When dividing 18 by 21, we get 0 with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Grab the next digit (6) from the dividend, add it to 18, then carry on: 186 / 21

Advancing to step 3:
186 divided by 21 is 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 168 from 186 to get 18.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 21

Moving on to step 4:
21 can be fit into 187 8 times, resulting in a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
Deduct 168 from 187 and we're left with 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 21

Advancing to step 5:
The number 21 fits into 194 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 889.0
The remainder is 5 after subtracting 189 from 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
50 divided by 21 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 889.2
Deduct 42 from 50 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.

Advancing to step 7:
21 goes into 80 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 889.23
If we subtract 63 from 80, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 8:
170 divided by 21 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 889.238
Subtracting 168 from 170 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
21 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 889.238
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
The number 21 fits into 200 9 times, leaving a remainder of 11.
The next digit of our result is 9. 
Result so far: 889.23809
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 11:
When dividing 110 by 21, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 889.238095
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
21 goes into 50 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 889.2380952
Subtracting 42 from 50 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.

Advancing to step 13:
The number 21 fits into 80 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 889.23809523
Deduct 63 from 80 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 889.23809523 with a remaining 1.7e-08.