Let's divide 586818 by 13
We want to figure out the number of times 586818 can be divided by 13.

Going ahead to step 1:
5 divided by 13 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 13

Advancing to step 2:
13 goes into 58 4 times with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 52 away from 58, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 13

Advancing to step 3:
13 goes into 66 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Subtract 65 from 66 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 13

Moving on to step 4:
If we divide 18 by 13, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 451.0
Deduct 13 from 18 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 13

Going ahead to step 5:
When dividing 51 by 13, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 4513.0
Subtract 39 from 51 to get 12.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 13

Let's proceed to step 6:
13 goes into 128 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 45139.0
Subtract 117 from 128 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
110 divided by 13 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 45139.8
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
13 goes into 60 4 times with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 45139.84
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 45139.846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 45139.8461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45139.84615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 13 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 45139.846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
110 divided by 13 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 45139.8461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
13 goes into 60 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 45139.84615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 45139.84615384 with a balance of 8e-09.