We look at the division of 103773 by 15 
We want to figure out the number of times 103773 can be divided by 15.

Step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 15

Let's proceed to step 2:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 15

On to step 3:
When dividing 103 by 15, we get 6 with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 90 from 103 to get 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 15

Going ahead to step 4:
137 divided by 15 is 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 69.0
Deduct 135 from 137 and we're left with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 15

Step 5:
27 divided by 15 is 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 691.0
If we take 15 away from 27, we end up with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 15

Advancing to step 6:
15 goes into 123 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 6918.0
Subtract 120 from 123 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
If we divide 30 by 15, we get 2 and a remainder of 0.
The next digit of our result is 2. 
Result so far: 6918.2
Subtracting 30 from 30 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.

Let's proceed to step 8:
0 divided by 15 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 6918.2
If we subtract 0 from 0, we get 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:
15 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6918.2
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.

In conclusion, the division gives 6918.2 with a balance of 0.0.