Let's divide 21241 by 34
We want to divide 21241 by 34.

Moving on to step 1:
2 divided by 34 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 34

Step 2:
34 can be fit into 21 0 times, resulting in a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Fetch the next digit (2) from the dividend, attach it to 21 and continue: 212 / 34

On to step 3:
212 divided by 34 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 204 from 212, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 34

On to step 4:
34 can be fit into 84 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we take 68 away from 84, we end up with 16.
Include the next digit (1) from the dividend after 16, then repeat: 161 / 34

On to step 5:
When dividing 161 by 34, we get 4 with a remainder of 25.
The number 4 becomes the next digit in our result. 
Result so far: 624.0
If we take 136 away from 161, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 6:
34 goes into 250 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 624.7
Subtract 238 from 250 to 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.

Moving on to step 7:
34 goes into 120 3 times with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 624.73
Subtracting 102 from 120 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
When dividing 180 by 34, we get 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 624.735
If we take 170 away from 180, we end up 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.

On to step 9:
34 goes into 100 2 times with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 624.7352
If we take 68 away from 100, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
34 can be fit into 320 9 times, resulting in a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 624.73529
Deduct 306 from 320 and we're left 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 11:
When dividing 140 by 34, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 624.735294
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
When dividing 40 by 34, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 624.7352941
Deduct 34 from 40 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
34 goes into 60 1 times with a remainder of 26.
The next digit of our result is 1. 
Result so far: 624.73529411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 624.73529411, and the remainder is 2.6e-08.