523963 ÷ 21 
Our goal is to divide 523963 by 21.

Let's proceed to step 1:
21 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 21

On to step 2:
If we divide 52 by 21, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 42 from 52 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 21

Let's proceed to step 3:
If we divide 103 by 21, we get 4 and a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Subtracting 84 from 103 leaves us with 19.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 21

Step 4:
21 goes into 199 9 times with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 249.0
Subtracting 189 from 199 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 21

Let's proceed to step 5:
The number 21 fits into 106 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 2495.0
Subtracting 105 from 106 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 21

Moving on to step 6:
When dividing 13 by 21, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 24950.0
If we subtract 0 from 13, we 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 7:
The number 21 fits into 130 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 24950.6
Subtract 126 from 130 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.

On to step 8:
When dividing 40 by 21, we get 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 24950.61
Subtract 21 from 40 to get 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 9:
If we divide 190 by 21, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 24950.619
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
21 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 24950.619
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 11:
When dividing 100 by 21, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 24950.61904
Subtracting 84 from 100 leaves us 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.

Let's proceed to step 12:
The number 21 fits into 160 7 times, leaving a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 24950.619047
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.

On to step 13:
21 goes into 130 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 24950.6190476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
21 goes into 40 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 24950.61904761
The remainder is 19 after subtracting 21 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 24950.61904761 with a balance of 1.9e-08.