We look at the division of 138497 by 65 
We want to divide 138497 by 65.

Step 1:
When dividing 1 by 65, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 65

Step 2:
65 goes into 13 0 times with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 65

Step 3:
138 divided by 65 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 130 from 138 leaves us with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 65

On to step 4:
When dividing 84 by 65, we get 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we subtract 65 from 84, we get 19.
Append the next digit (9) from the dividend to 19 and continue with: 199 / 65

On to step 5:
If we divide 199 by 65, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 213.0
Subtracting 195 from 199 leaves us with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 65

Advancing to step 6:
When dividing 47 by 65, we get 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 2130.0
If we subtract 0 from 47, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
If we divide 470 by 65, we get 7 and a remainder of 15.
Put 7 as the next digit of the answer. 
Result so far: 2130.7
If we take 455 away from 470, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
65 goes into 150 2 times with a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 2130.72
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 65 fits into 200 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 2130.723
Subtract 195 from 200 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 10:
The number 65 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 2130.723
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
500 divided by 65 is 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 2130.72307
Subtracting 455 from 500 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 12:
65 can be fit into 450 6 times, resulting in a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 2130.723076
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 2130.7230769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
When dividing 150 by 65, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 2130.72307692
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 2130.72307692 with a remaining 2e-08.