13097420 ÷ 523 
Our goal is to divide 13097420 by 523.

Going ahead to step 1:
When dividing 1 by 523, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 523

Going ahead to step 2:
523 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 523

Moving on to step 3:
If we divide 130 by 523, we get 0 and a remainder of 130.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 130 to get 130.
Fetch the next digit (9) from the dividend, attach it to 130 and continue: 1309 / 523

Moving on to step 4:
1309 divided by 523 is 2 with a remainder of 263.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 263 after subtracting 1046 from 1309.
Bring next digit (7) of the dividend behind the 263 and repeat the process: 2637 / 523

On to step 5:
The number 523 fits into 2637 5 times, leaving a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we subtract 2615 from 2637, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 523

Going ahead to step 6:
The number 523 fits into 224 0 times, leaving a remainder of 224.
Record the quotient 0 as the next digit in the result. 
Result so far: 250.0
Subtract 0 from 224 to get 224.
Bring next digit (2) of the dividend behind the 224 and repeat the process: 2242 / 523

Let's proceed to step 7:
When dividing 2242 by 523, we get 4 with a remainder of 150.
Write down 4 as next digit of the result. 
Result so far: 2504.0
Subtracting 2092 from 2242 leaves us with 150.
Take the next digit (0) from the dividend and append it to 150, then repeat: 1500 / 523

Moving on to step 8:
523 goes into 1500 2 times with a remainder of 454.
Put 2 as the next digit of the answer. 
Result so far: 25042.0
Deduct 1046 from 1500 and we're left with 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4540, and continue the process.

Step 9:
If we divide 4540 by 523, we get 8 and a remainder of 356.
Use 8 as the next digit of our solution. 
Result so far: 25042.8
Subtract 4184 from 4540 to get 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

Advancing to step 10:
The number 523 fits into 3560 6 times, leaving a remainder of 422.
The number 6 becomes the next digit in our result. 
Result so far: 25042.86
Subtract 3138 from 3560 to get 422.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

Let's proceed to step 11:
523 can be fit into 4220 8 times, resulting in a remainder of 36.
The next digit of our result is 8. 
Result so far: 25042.868
If we take 4184 away from 4220, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
If we divide 360 by 523, we get 0 and a remainder of 360.
Put 0 as the next digit of the answer. 
Result so far: 25042.868
Deduct 0 from 360 and we're left with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Let's proceed to step 13:
If we divide 3600 by 523, we get 6 and a remainder of 462.
Record the quotient 6 as the next digit in the result. 
Result so far: 25042.86806
If we take 3138 away from 3600, we end up with 462.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4620, and continue the process.

On to step 14:
When dividing 4620 by 523, we get 8 with a remainder of 436.
Put 8 as the next digit of the answer. 
Result so far: 25042.868068
If we subtract 4184 from 4620, we get 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Going ahead to step 15:
The number 523 fits into 4360 8 times, leaving a remainder of 176.
Write down 8 as next digit of the result. 
Result so far: 25042.8680688
If we subtract 4184 from 4360, we get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Our division results in 25042.8680688 with a remaining 1.76e-06.