71609706 ÷ 77 
The aim is to understand the frequency of 77 in 71609706.

Let's proceed to step 1:
The number 77 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 77

On to step 2:
77 can be fit into 71 0 times, resulting in a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 71 and we're left with 71.
Include the next digit (6) from the dividend after 71, then repeat: 716 / 77

On to step 3:
The number 77 fits into 716 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we take 693 away from 716, we end up with 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 77

On to step 4:
If we divide 230 by 77, we get 2 and a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 92.0
Subtracting 154 from 230 leaves us with 76.
Grab the next digit (9) from the dividend, add it to 76, then carry on: 769 / 77

On to step 5:
77 can be fit into 769 9 times, resulting in a remainder of 76.
The number 9 becomes the next digit in our result. 
Result so far: 929.0
If we take 693 away from 769, we end up with 76.
Grab the next digit (7) from the dividend, add it to 76, then carry on: 767 / 77

Advancing to step 6:
77 goes into 767 9 times with a remainder of 74.
Use 9 as the next digit of our solution. 
Result so far: 9299.0
If we take 693 away from 767, we end up with 74.
Fetch the next digit (0) from the dividend, attach it to 74 and continue: 740 / 77

Advancing to step 7:
77 can be fit into 740 9 times, resulting in a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 92999.0
Subtract 693 from 740 to get 47.
Include the next digit (6) from the dividend after 47, then repeat: 476 / 77

Let's proceed to step 8:
When dividing 476 by 77, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 929996.0
Subtracting 462 from 476 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
77 can be fit into 140 1 times, resulting in a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 929996.1
The remainder is 63 after subtracting 77 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 10:
The number 77 fits into 630 8 times, leaving a remainder of 14.
The next digit of our result is 8. 
Result so far: 929996.18
If we take 616 away from 630, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
The number 77 fits into 140 1 times, leaving a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 929996.181
If we subtract 77 from 140, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 12:
When dividing 630 by 77, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 929996.1818
If we subtract 616 from 630, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
77 goes into 140 1 times with a remainder of 63.
The next digit of our result is 1. 
Result so far: 929996.18181
Deduct 77 from 140 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 14:
77 goes into 630 8 times with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 929996.181818
The remainder is 14 after subtracting 616 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 15:
When dividing 140 by 77, we get 1 with a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 929996.1818181
If we subtract 77 from 140, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 16:
When dividing 630 by 77, we get 8 with a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 929996.18181818
If we take 616 away from 630, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 929996.18181818, and the remainder is 1.4e-08.