We're dividing 13697424 by 613 
We want to figure out the number of times 13697424 can be divided by 613.

Advancing to step 1:
613 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 613

Step 2:
If we divide 13 by 613, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 613

Moving on to step 3:
613 goes into 136 0 times with a remainder of 136.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 136, we get 136.
Append the next digit (9) from the dividend to 136 and continue with: 1369 / 613

Step 4:
613 can be fit into 1369 2 times, resulting in a remainder of 143.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 143 after subtracting 1226 from 1369.
Bring next digit (7) of the dividend behind the 143 and repeat the process: 1437 / 613

Moving on to step 5:
613 goes into 1437 2 times with a remainder of 211.
The next digit of our result is 2. 
Result so far: 22.0
Subtracting 1226 from 1437 leaves us with 211.
Include the next digit (4) from the dividend after 211, then repeat: 2114 / 613

Let's proceed to step 6:
When dividing 2114 by 613, we get 3 with a remainder of 275.
Use 3 as the next digit of our solution. 
Result so far: 223.0
Deduct 1839 from 2114 and we're left with 275.
Grab the next digit (2) from the dividend, add it to 275, then carry on: 2752 / 613

Moving on to step 7:
613 can be fit into 2752 4 times, resulting in a remainder of 300.
Use 4 as the next digit of our solution. 
Result so far: 2234.0
If we subtract 2452 from 2752, we get 300.
Fetch the next digit (4) from the dividend, attach it to 300 and continue: 3004 / 613

Moving on to step 8:
613 goes into 3004 4 times with a remainder of 552.
The number 4 becomes the next digit in our result. 
Result so far: 22344.0
Deduct 2452 from 3004 and we're left with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

Going ahead to step 9:
5520 divided by 613 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 22344.9
The remainder is 3 after subtracting 5517 from 5520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 10:
When dividing 30 by 613, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 22344.9
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
The number 613 fits into 300 0 times, leaving a remainder of 300.
Use 0 as the next digit of our solution. 
Result so far: 22344.9
The remainder is 300 after subtracting 0 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

The quotient of the division is 22344.9, and the remainder is 0.03.