638737 ÷ 65 
We want to figure out the number of times 638737 can be divided by 65.

Going ahead to step 1:
The number 65 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 65

Going ahead to step 2:
63 divided by 65 is 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Include the next digit (8) from the dividend after 63, then repeat: 638 / 65

Let's proceed to step 3:
638 divided by 65 is 9 with a remainder of 53.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 53 after subtracting 585 from 638.
Take the next digit (7) from the dividend and append it to 53, then repeat: 537 / 65

Moving on to step 4:
If we divide 537 by 65, we get 8 and a remainder of 17.
Put 8 as the next digit of the answer. 
Result so far: 98.0
If we subtract 520 from 537, we get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 65

On to step 5:
173 divided by 65 is 2 with a remainder of 43.
Put 2 as the next digit of the answer. 
Result so far: 982.0
Subtract 130 from 173 to get 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 65

On to step 6:
When dividing 437 by 65, we get 6 with a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 9826.0
If we take 390 away from 437, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
When dividing 470 by 65, we get 7 with a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 9826.7
If we subtract 455 from 470, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
150 divided by 65 is 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 9826.72
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.

On to step 9:
65 goes into 200 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 9826.723
Subtracting 195 from 200 leaves us with 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 10:
65 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 9826.723
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.

Going ahead to step 11:
65 goes into 500 7 times with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 9826.72307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 12:
If we divide 450 by 65, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 9826.723076
Deduct 390 from 450 and we're left 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.

Going ahead to step 13:
600 divided by 65 is 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 9826.7230769
Deduct 585 from 600 and we're left 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.

On to step 14:
The number 65 fits into 150 2 times, leaving a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 9826.72307692
Deduct 130 from 150 and we're left with 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 9826.72307692 with a remaining 2e-08.