641314 divided by 38 
We want to figure out the number of times 641314 can be divided by 38.

Moving on to step 1:
If we divide 6 by 38, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 38

Let's proceed to step 2:
38 can be fit into 64 1 times, resulting in a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 64, we end up with 26.
Take the next digit (1) from the dividend and append it to 26, then repeat: 261 / 38

Going ahead to step 3:
38 can be fit into 261 6 times, resulting in a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtracting 228 from 261 leaves us with 33.
Include the next digit (3) from the dividend after 33, then repeat: 333 / 38

On to step 4:
38 can be fit into 333 8 times, resulting in a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 168.0
The remainder is 29 after subtracting 304 from 333.
Grab the next digit (1) from the dividend, add it to 29, then carry on: 291 / 38

On to step 5:
If we divide 291 by 38, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 1687.0
If we subtract 266 from 291, we get 25.
Include the next digit (4) from the dividend after 25, then repeat: 254 / 38

Moving on to step 6:
38 can be fit into 254 6 times, resulting in a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 16876.0
Deduct 228 from 254 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
When dividing 260 by 38, we get 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 16876.6
The remainder is 32 after subtracting 228 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 8:
38 goes into 320 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 16876.68
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 16876.684
If we take 152 away from 160, 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.

Step 10:
The number 38 fits into 80 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 16876.6842
If we take 76 away from 80, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
38 goes into 40 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 16876.68421
Subtracting 38 from 40 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
20 divided by 38 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 16876.68421
Deduct 0 from 20 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.

Advancing to step 13:
If we divide 200 by 38, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 16876.6842105
If we subtract 190 from 200, 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:
If we divide 100 by 38, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 16876.68421052
The remainder is 24 after subtracting 76 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 16876.68421052 with a balance of 2.4e-08.