645896 divided by 13 
We want to figure out the number of times 645896 can be divided by 13.

Step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 13

Let's proceed to step 2:
13 goes into 64 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 52 from 64 and we're left with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 13

On to step 3:
The number 13 fits into 125 9 times, leaving a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 49.0
Subtracting 117 from 125 leaves us with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 13

On to step 4:
13 can be fit into 88 6 times, resulting in a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 496.0
If we take 78 away from 88, we end up with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 13

Let's proceed to step 5:
The number 13 fits into 109 8 times, leaving a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 4968.0
The remainder is 5 after subtracting 104 from 109.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 13

Step 6:
The number 13 fits into 56 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 49684.0
If we take 52 away from 56, 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 7:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 49684.3
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 49684.3
Subtracting 0 from 10 leaves us 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.

Advancing to step 9:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 49684.307
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 10:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 49684.3076
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.

Step 11:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 49684.30769
If we take 117 away from 120, we end up 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.

Let's proceed to step 12:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 49684.307692
The remainder is 4 after subtracting 26 from 30.
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 13:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 49684.3076923
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.

Advancing to step 14:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 49684.3076923
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.

Our division results in 49684.3076923 with a remaining 1e-08.