Let's divide 21410 by 69
We want to figure out the number of times 21410 can be divided by 69.

Going ahead to step 1:
2 divided by 69 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 69

On to step 2:
21 divided by 69 is 0 with a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 69

On to step 3:
If we divide 214 by 69, we get 3 and a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 207 from 214, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 69

Moving on to step 4:
When dividing 71 by 69, we get 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
Subtracting 69 from 71 leaves us with 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 69

Step 5:
The number 69 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 310.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 6:
69 can be fit into 200 2 times, resulting in a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 310.2
The remainder is 62 after subtracting 138 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
The number 69 fits into 620 8 times, leaving a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 310.28
The remainder is 68 after subtracting 552 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 8:
680 divided by 69 is 9 with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 310.289
If we take 621 away from 680, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 9:
If we divide 590 by 69, we get 8 and a remainder of 38.
Use 8 as the next digit of our solution. 
Result so far: 310.2898
If we take 552 away from 590, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
If we divide 380 by 69, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 310.28985
Subtracting 345 from 380 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 11:
The number 69 fits into 350 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 310.289855
Subtract 345 from 350 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 310.289855 and a remainder of 5e-07.