We're dividing 690242 by 13 
Our goal is to divide 690242 by 13.

Step 1:
6 divided by 13 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

Step 2:
69 divided by 13 is 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 65 from 69 to get 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 13

Step 3:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 1 after subtracting 39 from 40.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 13

On to step 4:
The number 13 fits into 12 0 times, leaving a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 530.0
Subtracting 0 from 12 leaves us with 12.
Take the next digit (4) from the dividend and append it to 12, then repeat: 124 / 13

Going ahead to step 5:
The number 13 fits into 124 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 5309.0
Subtracting 117 from 124 leaves us with 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 13

Going ahead to step 6:
When dividing 72 by 13, we get 5 with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 53095.0
If we subtract 65 from 72, we 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 7:
70 divided by 13 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 53095.5
If we subtract 65 from 70, we 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.

Going ahead to step 8:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 53095.53
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.

Step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 53095.538
Subtract 104 from 110 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.

Advancing to step 10:
13 goes into 60 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 53095.5384
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.

Going ahead to step 11:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 53095.53846
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.

Step 12:
When dividing 20 by 13, we get 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 53095.538461
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.

On to step 13:
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: 53095.5384615
If we take 65 away from 70, we end up 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.

Let's proceed to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 53095.53846153
Deduct 39 from 50 and we're left 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.

The quotient of the division is 53095.53846153, and the remainder is 1.1e-08.