853434 ÷ 13 
We want to figure out the number of times 853434 can be divided by 13.

Going ahead to step 1:
8 divided by 13 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 13

On to step 2:
The number 13 fits into 85 6 times, leaving a remainder of 7.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 78 away from 85, we end up with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 13

Advancing to step 3:
13 goes into 73 5 times with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 65.0
The remainder is 8 after subtracting 65 from 73.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 13

On to step 4:
When dividing 84 by 13, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 656.0
Subtracting 78 from 84 leaves us with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 13

Moving on to step 5:
63 divided by 13 is 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 6564.0
The remainder is 11 after subtracting 52 from 63.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 13

Moving on to step 6:
13 can be fit into 114 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 65648.0
If we take 104 away from 114, we end up 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.

Let's proceed to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 65648.7
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.

Step 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 65648.76
If we subtract 78 from 90, we 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.

On to step 9:
13 goes into 120 9 times with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 65648.769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 65648.7692
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.

Let's proceed to step 11:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 65648.76923
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.

Let's proceed to step 12:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 65648.76923
If we subtract 0 from 10, we 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.

Going ahead to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 65648.7692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 14:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 65648.76923076
If we subtract 78 from 90, we 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.

The quotient of the division is 65648.76923076, and the remainder is 1.2e-08.