We look at the division of 705686 by 13 
We want to figure out the number of times 705686 can be divided by 13.

Moving on to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 13

Going ahead to step 2:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 65 away from 70, we end up with 5.
Grab the next digit (5) from the dividend, add it to 5, then carry on: 55 / 13

Advancing to step 3:
13 can be fit into 55 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 54.0
The remainder is 3 after subtracting 52 from 55.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Advancing to step 4:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 542.0
Subtract 26 from 36 to get 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 13

Going ahead to step 5:
13 goes into 108 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 5428.0
Subtract 104 from 108 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Let's proceed to step 6:
46 divided by 13 is 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 54283.0
Subtract 39 from 46 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 7:
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: 54283.5
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.

Let's proceed to step 8:
50 divided by 13 is 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 54283.53
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.

Moving on to step 9:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 54283.538
Deduct 104 from 110 and we're left 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.

Going ahead 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: 54283.5384
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.

Step 11:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 54283.53846
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.

Going ahead to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 54283.538461
Deduct 13 from 20 and we're left 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 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 54283.5384615
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.

Moving on to step 14:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 54283.53846153
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.

The quotient of the division is 54283.53846153, and the remainder is 1.1e-08.