83900 ÷ 77 
The aim is to understand the frequency of 77 in 83900.

Let's proceed to step 1:
The number 77 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 77

Moving on to step 2:
77 goes into 83 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 77 from 83, we get 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 77

On to step 3:
69 divided by 77 is 0 with a remainder of 69.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 69 and we're left with 69.
Grab the next digit (0) from the dividend, add it to 69, then carry on: 690 / 77

Going ahead to step 4:
The number 77 fits into 690 8 times, leaving a remainder of 74.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
Subtract 616 from 690 to get 74.
Bring next digit (0) of the dividend behind the 74 and repeat the process: 740 / 77

Step 5:
The number 77 fits into 740 9 times, leaving a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 1089.0
Subtract 693 from 740 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 6:
If we divide 470 by 77, we get 6 and a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 1089.6
If we take 462 away from 470, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 77, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1089.61
The remainder is 3 after subtracting 77 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
77 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1089.61
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
The number 77 fits into 300 3 times, leaving a remainder of 69.
Write down 3 as next digit of the result. 
Result so far: 1089.6103
Deduct 231 from 300 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 10:
77 goes into 690 8 times with a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 1089.61038
Subtracting 616 from 690 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 11:
If we divide 740 by 77, we get 9 and a remainder of 47.
The next digit of our result is 9. 
Result so far: 1089.610389
Subtract 693 from 740 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 12:
If we divide 470 by 77, we get 6 and a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 1089.6103896
The remainder is 8 after subtracting 462 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
77 can be fit into 80 1 times, resulting in a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1089.61038961
Subtract 77 from 80 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.

The quotient of the division is 1089.61038961, and the remainder is 3e-09.