We look at the division of 34189 by 21 
We're looking to find how many times 21 goes into 34189.

Moving on to step 1:
3 divided by 21 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 21

Advancing to step 2:
21 can be fit into 34 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 21 from 34 leaves us with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 21

Advancing to step 3:
The number 21 fits into 131 6 times, leaving a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 126 from 131 leaves us with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 21

On to step 4:
21 can be fit into 58 2 times, resulting in a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 162.0
The remainder is 16 after subtracting 42 from 58.
Take the next digit (9) from the dividend and append it to 16, then repeat: 169 / 21

Moving on to step 5:
The number 21 fits into 169 8 times, leaving a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 1628.0
Subtract 168 from 169 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
When dividing 10 by 21, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1628.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
The number 21 fits into 100 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 1628.04
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
160 divided by 21 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1628.047
Subtract 147 from 160 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
21 can be fit into 130 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 1628.0476
If we take 126 away from 130, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
When dividing 40 by 21, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1628.04761
If we take 21 away from 40, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
The number 21 fits into 190 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1628.047619
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
If we divide 10 by 21, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 1628.047619
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
When dividing 100 by 21, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 1628.04761904
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 1628.04761904 with a remainder of 1.6e-08.