We're dividing 698556 by 13 
We're looking to find how many times 13 goes into 698556.

Let's proceed to step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 13

Going ahead to step 2:
13 goes into 69 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 65 from 69 and we're left with 4.
Take the next digit (8) from the dividend and append it to 4, then repeat: 48 / 13

Moving on to step 3:
The number 13 fits into 48 3 times, leaving a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 9 after subtracting 39 from 48.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 13

Going ahead to step 4:
When dividing 95 by 13, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 537.0
If we take 91 away from 95, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

Let's proceed to step 5:
When dividing 45 by 13, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 5373.0
Deduct 39 from 45 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 13

Going ahead to step 6:
13 goes into 66 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 53735.0
If we subtract 65 from 66, we 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 7:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 53735.0
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:
100 divided by 13 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 53735.07
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.

Let's proceed to step 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 53735.076
Subtracting 78 from 90 leaves us with 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.
Record the quotient 9 as the next digit in the result. 
Result so far: 53735.0769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 53735.07692
If we subtract 26 from 30, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
13 goes into 40 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 53735.076923
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.

On to step 13:
The number 13 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 53735.076923
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 14:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 53735.07692307
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.

The final result is 53735.07692307 with a remainder of 9e-09.