Let's divide 963674 by 15
We want to figure out the number of times 963674 can be divided by 15.

Going ahead to step 1:
If we divide 9 by 15, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 15

Advancing to step 2:
96 divided by 15 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 90 from 96 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 15

Going ahead to step 3:
15 goes into 63 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 3 after subtracting 60 from 63.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 15

On to step 4:
If we divide 36 by 15, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 642.0
If we take 30 away from 36, we end up with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 15

Let's proceed to step 5:
When dividing 67 by 15, we get 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 6424.0
Subtracting 60 from 67 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 15

Advancing to step 6:
15 goes into 74 4 times with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 64244.0
Deduct 60 from 74 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
The number 15 fits into 140 9 times, leaving a remainder of 5.
The next digit of our result is 9. 
Result so far: 64244.9
If we take 135 away from 140, 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.

Moving on to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 64244.93
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.

Let's proceed to step 9:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 64244.933
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.

After the division, we end up with 64244.933 and a remainder of 0.0005.