We're dividing 65968 by 87 
The aim is to understand the frequency of 87 in 65968.

Step 1:
6 divided by 87 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 87

Advancing to step 2:
If we divide 65 by 87, we get 0 and a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Grab the next digit (9) from the dividend, add it to 65, then carry on: 659 / 87

Advancing to step 3:
The number 87 fits into 659 7 times, leaving a remainder of 50.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 50 after subtracting 609 from 659.
Fetch the next digit (6) from the dividend, attach it to 50 and continue: 506 / 87

On to step 4:
506 divided by 87 is 5 with a remainder of 71.
Use 5 as the next digit of our solution. 
Result so far: 75.0
The remainder is 71 after subtracting 435 from 506.
Take the next digit (8) from the dividend and append it to 71, then repeat: 718 / 87

Moving on to step 5:
718 divided by 87 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 758.0
Deduct 696 from 718 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 6:
The number 87 fits into 220 2 times, leaving a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 758.2
If we subtract 174 from 220, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
If we divide 460 by 87, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 758.25
Subtracting 435 from 460 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
250 divided by 87 is 2 with a remainder of 76.
The next digit of our result is 2. 
Result so far: 758.252
Subtract 174 from 250 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
87 goes into 760 8 times with a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 758.2528
Subtracting 696 from 760 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.

Advancing to step 10:
The number 87 fits into 640 7 times, leaving a remainder of 31.
The next digit of our result is 7. 
Result so far: 758.25287
If we subtract 609 from 640, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 11:
87 can be fit into 310 3 times, resulting in a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 758.252873
The remainder is 49 after subtracting 261 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 12:
87 goes into 490 5 times with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 758.2528735
If we take 435 away from 490, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 13:
The number 87 fits into 550 6 times, leaving a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 758.25287356
Subtract 522 from 550 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 758.25287356, and the remainder is 2.8e-08.