We look at the division of 64376 by 15 
Our goal is to divide 64376 by 15.

On to step 1:
15 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 15

Let's proceed to step 2:
15 goes into 64 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we subtract 60 from 64, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 15

Step 3:
The number 15 fits into 43 2 times, leaving a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Deduct 30 from 43 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 15

Moving on to step 4:
15 goes into 137 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 429.0
Deduct 135 from 137 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 15

Step 5:
15 can be fit into 26 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 4291.0
If we subtract 15 from 26, we get 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 6:
The number 15 fits into 110 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 4291.7
The remainder is 5 after subtracting 105 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 4291.73
If we take 45 away from 50, we end up 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.

Going ahead to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4291.733
Deduct 45 from 50 and we're left 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.

The final result is 4291.733 with a remainder of 0.0005.