76219 ÷ 65 
Our goal is to divide 76219 by 65.

Advancing to step 1:
7 divided by 65 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 65

Advancing to step 2:
The number 65 fits into 76 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 65 from 76 leaves us with 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 65

Let's proceed to step 3:
If we divide 112 by 65, we get 1 and a remainder of 47.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 47 after subtracting 65 from 112.
Take the next digit (1) from the dividend and append it to 47, then repeat: 471 / 65

Advancing to step 4:
65 can be fit into 471 7 times, resulting in a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 117.0
Deduct 455 from 471 and we're left with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 65

Going ahead to step 5:
If we divide 169 by 65, we get 2 and a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 1172.0
Subtract 130 from 169 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 6:
65 goes into 390 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 1172.6
If we subtract 390 from 390, 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.

Moving on to step 7:
65 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 1172.6
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.

Going ahead to step 8:
When dividing 0 by 65, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 1172.6
Subtract 0 from 0 to 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.

The quotient of the division is 1172.6, and the remainder is 0.0.