Let's divide 953590 by 13
We're looking to find how many times 13 goes into 953590.

Step 1:
If we divide 9 by 13, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Step 2:
95 divided by 13 is 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 91 away from 95, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 13

Going ahead to step 3:
13 can be fit into 43 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Subtracting 39 from 43 leaves us with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

Let's proceed to step 4:
The number 13 fits into 45 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 733.0
Deduct 39 from 45 and we're left with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 13

Step 5:
If we divide 69 by 13, we get 5 and a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 7335.0
Subtracting 65 from 69 leaves us with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 13

Going ahead to step 6:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 73353.0
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 13 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 73353.0
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.

On to step 8:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 73353.07
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 9:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 73353.076
Subtract 78 from 90 to 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.

Let's proceed to step 10:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 73353.0769
The remainder is 3 after subtracting 117 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 11:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 73353.07692
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.

Let's proceed to step 12:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 73353.076923
Subtract 39 from 40 to 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 13:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 73353.076923
If we take 0 away from 10, 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.

Advancing to step 14:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 73353.07692307
Subtracting 91 from 100 leaves us 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.

The quotient of the division is 73353.07692307, and the remainder is 9e-09.