We look at the division of 616965 by 13 
We want to figure out the number of times 616965 can be divided by 13.

Step 1:
When dividing 6 by 13, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 13

Advancing to step 2:
13 goes into 61 4 times with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 52 from 61 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 13

Step 3:
96 divided by 13 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
Deduct 91 from 96 and we're left with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 13

Moving on to step 4:
If we divide 59 by 13, we get 4 and a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 474.0
Deduct 52 from 59 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 13

Step 5:
76 divided by 13 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 4745.0
Subtract 65 from 76 to get 11.
Bring next digit (5) of the dividend behind the 11 and repeat the process: 115 / 13

Let's proceed to step 6:
When dividing 115 by 13, we get 8 with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 47458.0
If we take 104 away from 115, we end up 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.

Let's proceed to step 7:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 47458.8
If we take 104 away from 110, we end up 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.

Step 8:
The number 13 fits into 60 4 times, leaving a remainder of 8.
The next digit of our result is 4. 
Result so far: 47458.84
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 47458.846
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 47458.8461
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 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 47458.84615
Subtract 65 from 70 to 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.

Step 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 47458.846153
If we take 39 away from 50, we end up 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:
13 goes into 110 8 times with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 47458.8461538
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 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 47458.84615384
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.

After the division, we end up with 47458.84615384 and a remainder of 8e-09.