359625 ÷ 13 
We want to figure out the number of times 359625 can be divided by 13.

Let's proceed to step 1:
13 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 13

Step 2:
13 can be fit into 35 2 times, resulting in a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 26 from 35 and we're left with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 13

Let's proceed to step 3:
13 can be fit into 99 7 times, resulting in a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 27.0
If we subtract 91 from 99, we get 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 13

Step 4:
13 goes into 86 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 276.0
Deduct 78 from 86 and we're left with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 13

Step 5:
82 divided by 13 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2766.0
If we take 78 away from 82, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Advancing to step 6:
45 divided by 13 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 27663.0
Subtract 39 from 45 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.

Going ahead to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 27663.4
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.

Moving on to step 8:
13 goes into 80 6 times with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 27663.46
If we subtract 78 from 80, we 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.

Going ahead to step 9:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 27663.461
Subtracting 13 from 20 leaves us 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.

Step 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 27663.4615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
13 goes into 50 3 times with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 27663.46153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
110 divided by 13 is 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 27663.461538
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.

Let's proceed to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 27663.4615384
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.

Advancing to step 14:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 27663.46153846
If we take 78 away from 80, we end up 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.

The quotient of the division is 27663.46153846, and the remainder is 2e-09.