We're dividing 763137 by 15 
We're looking to find how many times 15 goes into 763137.

Let's proceed to step 1:
When dividing 7 by 15, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 15

Step 2:
15 goes into 76 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 75 from 76 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 15

Moving on to step 3:
13 divided by 15 is 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 50.0
If we take 0 away from 13, we end up with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 15

Let's proceed to step 4:
If we divide 131 by 15, we get 8 and a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 508.0
The remainder is 11 after subtracting 120 from 131.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 15

Step 5:
113 divided by 15 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 5087.0
The remainder is 8 after subtracting 105 from 113.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 15

Moving on to step 6:
The number 15 fits into 87 5 times, leaving a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 50875.0
Deduct 75 from 87 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 7:
15 goes into 120 8 times with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 50875.8
Deduct 120 from 120 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
15 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 50875.8
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
When dividing 0 by 15, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 50875.8
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 50875.8, and the remainder is 0.0.