We look at the division of 21413405 by 588 
We want to figure out the number of times 21413405 can be divided by 588.

Step 1:
When dividing 2 by 588, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 588

Moving on to step 2:
588 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
Subtracting 0 from 21 leaves us with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 588

Advancing to step 3:
588 can be fit into 214 0 times, resulting in a remainder of 214.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 214, we end up with 214.
Take the next digit (1) from the dividend and append it to 214, then repeat: 2141 / 588

Moving on to step 4:
588 can be fit into 2141 3 times, resulting in a remainder of 377.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 1764 away from 2141, we end up with 377.
Take the next digit (3) from the dividend and append it to 377, then repeat: 3773 / 588

Let's proceed to step 5:
The number 588 fits into 3773 6 times, leaving a remainder of 245.
Write down 6 as next digit of the result. 
Result so far: 36.0
If we subtract 3528 from 3773, we get 245.
Take the next digit (4) from the dividend and append it to 245, then repeat: 2454 / 588

Let's proceed to step 6:
If we divide 2454 by 588, we get 4 and a remainder of 102.
Put 4 as the next digit of the answer. 
Result so far: 364.0
Subtract 2352 from 2454 to get 102.
Append the next digit (0) from the dividend to 102 and continue with: 1020 / 588

Let's proceed to step 7:
588 goes into 1020 1 times with a remainder of 432.
Write down 1 as next digit of the result. 
Result so far: 3641.0
If we subtract 588 from 1020, we get 432.
Include the next digit (5) from the dividend after 432, then repeat: 4325 / 588

Step 8:
4325 divided by 588 is 7 with a remainder of 209.
Write down 7 as next digit of the result. 
Result so far: 36417.0
Subtracting 4116 from 4325 leaves us with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Going ahead to step 9:
588 goes into 2090 3 times with a remainder of 326.
Use 3 as the next digit of our solution. 
Result so far: 36417.3
Subtracting 1764 from 2090 leaves us with 326.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Advancing to step 10:
If we divide 3260 by 588, we get 5 and a remainder of 320.
Record the quotient 5 as the next digit in the result. 
Result so far: 36417.35
Subtracting 2940 from 3260 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Let's proceed to step 11:
When dividing 3200 by 588, we get 5 with a remainder of 260.
Put 5 as the next digit of the answer. 
Result so far: 36417.355
The remainder is 260 after subtracting 2940 from 3200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

Our division results in 36417.355 with a remaining 0.026.