We're dividing 5165 by 67 
Our goal is to divide 5165 by 67.

Let's proceed to step 1:
If we divide 5 by 67, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 67

On to step 2:
If we divide 51 by 67, we get 0 and a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 67

Advancing to step 3:
516 divided by 67 is 7 with a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 469 from 516 to get 47.
Fetch the next digit (5) from the dividend, attach it to 47 and continue: 475 / 67

Step 4:
When dividing 475 by 67, we get 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 77.0
If we subtract 469 from 475, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 5:
The number 67 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 77.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 6:
67 can be fit into 600 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 77.08
Subtracting 536 from 600 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
67 can be fit into 640 9 times, resulting in a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 77.089
If we subtract 603 from 640, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
67 can be fit into 370 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 77.0895
If we subtract 335 from 370, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
67 can be fit into 350 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 77.08955
Subtracting 335 from 350 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 77.08955 with a balance of 1.5e-05.