10315421 divided by 523 
Our goal is to divide 10315421 by 523.

On to step 1:
When dividing 1 by 523, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 523

Advancing to step 2:
If we divide 10 by 523, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 523

On to step 3:
523 goes into 103 0 times with a remainder of 103.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 103 leaves us with 103.
Take the next digit (1) from the dividend and append it to 103, then repeat: 1031 / 523

On to step 4:
1031 divided by 523 is 1 with a remainder of 508.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 523 from 1031, we get 508.
Grab the next digit (5) from the dividend, add it to 508, then carry on: 5085 / 523

Let's proceed to step 5:
When dividing 5085 by 523, we get 9 with a remainder of 378.
The next digit of our result is 9. 
Result so far: 19.0
Deduct 4707 from 5085 and we're left with 378.
Bring next digit (4) of the dividend behind the 378 and repeat the process: 3784 / 523

Going ahead to step 6:
523 goes into 3784 7 times with a remainder of 123.
The next digit of our result is 7. 
Result so far: 197.0
Deduct 3661 from 3784 and we're left with 123.
Take the next digit (2) from the dividend and append it to 123, then repeat: 1232 / 523

On to step 7:
The number 523 fits into 1232 2 times, leaving a remainder of 186.
Write down 2 as next digit of the result. 
Result so far: 1972.0
Subtracting 1046 from 1232 leaves us with 186.
Take the next digit (1) from the dividend and append it to 186, then repeat: 1861 / 523

Advancing to step 8:
1861 divided by 523 is 3 with a remainder of 292.
The next digit of our result is 3. 
Result so far: 19723.0
Subtract 1569 from 1861 to get 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Step 9:
523 goes into 2920 5 times with a remainder of 305.
Write down 5 as next digit of the result. 
Result so far: 19723.5
If we subtract 2615 from 2920, we get 305.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3050, and continue the process.

Advancing to step 10:
When dividing 3050 by 523, we get 5 with a remainder of 435.
Write down 5 as next digit of the result. 
Result so far: 19723.55
Subtract 2615 from 3050 to get 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

In conclusion, the division gives 19723.55 with a balance of 0.435.