77729157 ÷ 639 
The aim is to understand the frequency of 639 in 77729157.

Advancing to step 1:
639 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 639

Step 2:
639 can be fit into 77 0 times, resulting in a remainder of 77.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Grab the next digit (7) from the dividend, add it to 77, then carry on: 777 / 639

Advancing to step 3:
639 goes into 777 1 times with a remainder of 138.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 639 from 777 and we're left with 138.
Fetch the next digit (2) from the dividend, attach it to 138 and continue: 1382 / 639

Moving on to step 4:
When dividing 1382 by 639, we get 2 with a remainder of 104.
Use 2 as the next digit of our solution. 
Result so far: 12.0
The remainder is 104 after subtracting 1278 from 1382.
Append the next digit (9) from the dividend to 104 and continue with: 1049 / 639

Going ahead to step 5:
The number 639 fits into 1049 1 times, leaving a remainder of 410.
Put 1 as the next digit of the answer. 
Result so far: 121.0
Deduct 639 from 1049 and we're left with 410.
Grab the next digit (1) from the dividend, add it to 410, then carry on: 4101 / 639

Advancing to step 6:
639 goes into 4101 6 times with a remainder of 267.
Put 6 as the next digit of the answer. 
Result so far: 1216.0
Subtracting 3834 from 4101 leaves us with 267.
Fetch the next digit (5) from the dividend, attach it to 267 and continue: 2675 / 639

On to step 7:
639 can be fit into 2675 4 times, resulting in a remainder of 119.
The next digit of our result is 4. 
Result so far: 12164.0
If we take 2556 away from 2675, we end up with 119.
Fetch the next digit (7) from the dividend, attach it to 119 and continue: 1197 / 639

Going ahead to step 8:
If we divide 1197 by 639, we get 1 and a remainder of 558.
Use 1 as the next digit of our solution. 
Result so far: 121641.0
The remainder is 558 after subtracting 639 from 1197.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Step 9:
639 can be fit into 5580 8 times, resulting in a remainder of 468.
The number 8 becomes the next digit in our result. 
Result so far: 121641.8
If we subtract 5112 from 5580, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Moving on to step 10:
If we divide 4680 by 639, we get 7 and a remainder of 207.
Write down 7 as next digit of the result. 
Result so far: 121641.87
If we take 4473 away from 4680, we end up with 207.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2070, and continue the process.

On to step 11:
If we divide 2070 by 639, we get 3 and a remainder of 153.
Write down 3 as next digit of the result. 
Result so far: 121641.873
Deduct 1917 from 2070 and we're left with 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Step 12:
The number 639 fits into 1530 2 times, leaving a remainder of 252.
Record the quotient 2 as the next digit in the result. 
Result so far: 121641.8732
Subtracting 1278 from 1530 leaves us with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Advancing to step 13:
639 goes into 2520 3 times with a remainder of 603.
Use 3 as the next digit of our solution. 
Result so far: 121641.87323
If we subtract 1917 from 2520, we get 603.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6030, and continue the process.

Going ahead to step 14:
The number 639 fits into 6030 9 times, leaving a remainder of 279.
Record the quotient 9 as the next digit in the result. 
Result so far: 121641.873239
Subtracting 5751 from 6030 leaves us with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Let's proceed to step 15:
If we divide 2790 by 639, we get 4 and a remainder of 234.
Use 4 as the next digit of our solution. 
Result so far: 121641.8732394
Subtract 2556 from 2790 to get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

Advancing to step 16:
When dividing 2340 by 639, we get 3 with a remainder of 423.
Record the quotient 3 as the next digit in the result. 
Result so far: 121641.87323943
If we subtract 1917 from 2340, we get 423.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4230, and continue the process.

The final result is 121641.87323943 with a remainder of 4.23e-07.