We look at the division of 825473 by 13 
Our goal is to divide 825473 by 13.

Let's proceed to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 13

Advancing to step 2:
If we divide 82 by 13, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 78 from 82, we get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 13

Advancing to step 3:
When dividing 45 by 13, we get 3 with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
The remainder is 6 after subtracting 39 from 45.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 13

Step 4:
13 can be fit into 64 4 times, resulting in a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 634.0
If we subtract 52 from 64, we get 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 13

Let's proceed to step 5:
13 can be fit into 127 9 times, resulting in a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 6349.0
Deduct 117 from 127 and we're left with 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 13

On to step 6:
If we divide 103 by 13, we get 7 and a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 63497.0
Subtract 91 from 103 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 63497.9
Subtract 117 from 120 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 63497.92
If we take 26 away from 30, we end up with 4.
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 9:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 63497.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63497.923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 63497.92307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 63497.923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 63497.9230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 63497.92307692
Deduct 26 from 30 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 63497.92307692, with a leftover of 4e-09.