689986 divided by 13 
Let's see how many times 13 fits into 689986.

Step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 13

Advancing to step 2:
The number 13 fits into 68 5 times, leaving a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 3 after subtracting 65 from 68.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 13

Let's proceed to step 3:
When dividing 39 by 13, we get 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 53.0
If we take 39 away from 39, we end up with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 13

On to step 4:
13 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 530.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 13

Step 5:
When dividing 98 by 13, we get 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 5307.0
Subtracting 91 from 98 leaves us with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 13

Advancing to step 6:
If we divide 76 by 13, we get 5 and a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 53075.0
Subtracting 65 from 76 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 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 53075.8
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.

On to step 8:
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: 53075.84
If we take 52 away from 60, we end up 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 9:
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: 53075.846
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.

Going ahead to step 10:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 53075.8461
Subtract 13 from 20 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.

Let's proceed to step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 53075.84615
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 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 53075.846153
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.

On to step 13:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 53075.8461538
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.

Advancing to step 14:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 53075.84615384
If we take 52 away from 60, we end up 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.

Our division results in 53075.84615384 with a remaining 8e-09.