Let's divide 586202 by 13
We want to figure out the number of times 586202 can be divided by 13.

Let's proceed to step 1:
5 divided by 13 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 13

Advancing to step 2:
If we divide 58 by 13, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 6 after subtracting 52 from 58.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 13

Moving on to step 3:
The number 13 fits into 66 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
The remainder is 1 after subtracting 65 from 66.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 13

Advancing to step 4:
13 can be fit into 12 0 times, resulting in a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 450.0
Subtract 0 from 12 to get 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 13

Going ahead to step 5:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 4509.0
Subtract 117 from 120 to get 3.
Include the next digit (2) from the dividend after 3, then repeat: 32 / 13

Advancing to step 6:
13 can be fit into 32 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 45092.0
Subtract 26 from 32 to get 6.
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 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 45092.4
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
80 divided by 13 is 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 45092.46
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 45092.461
If we take 13 away from 20, we end up with 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 10:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 45092.4615
Subtract 65 from 70 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 45092.46153
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.

Step 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 45092.461538
Subtracting 104 from 110 leaves us 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 13:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 45092.4615384
Subtracting 52 from 60 leaves us with 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 14:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 45092.46153846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 45092.46153846, with a leftover of 2e-09.