737187 ÷ 65 
Our goal is to divide 737187 by 65.

On to step 1:
7 divided by 65 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 65

Step 2:
If we divide 73 by 65, we get 1 and a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 8 after subtracting 65 from 73.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 65

Step 3:
65 goes into 87 1 times with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 11.0
The remainder is 22 after subtracting 65 from 87.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 65

Let's proceed to step 4:
221 divided by 65 is 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
If we subtract 195 from 221, we get 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 65

Moving on to step 5:
The number 65 fits into 268 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1134.0
If we subtract 260 from 268, we get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 65

On to step 6:
If we divide 87 by 65, we get 1 and a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 11341.0
Subtract 65 from 87 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
65 goes into 220 3 times with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 11341.3
The remainder is 25 after subtracting 195 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
65 can be fit into 250 3 times, resulting in a remainder of 55.
The next digit of our result is 3. 
Result so far: 11341.33
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 11341.33 with a balance of 0.055.