5777829 ÷ 790 
The aim is to understand the frequency of 790 in 5777829.

Let's proceed to step 1:
When dividing 5 by 790, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 790

Let's proceed to step 2:
When dividing 57 by 790, we get 0 with a remainder of 57.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 57, we get 57.
Include the next digit (7) from the dividend after 57, then repeat: 577 / 790

Let's proceed to step 3:
790 goes into 577 0 times with a remainder of 577.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 577, we end up with 577.
Append the next digit (7) from the dividend to 577 and continue with: 5777 / 790

Going ahead to step 4:
790 can be fit into 5777 7 times, resulting in a remainder of 247.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 5530 from 5777, we get 247.
Bring next digit (8) of the dividend behind the 247 and repeat the process: 2478 / 790

Advancing to step 5:
790 can be fit into 2478 3 times, resulting in a remainder of 108.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
The remainder is 108 after subtracting 2370 from 2478.
Include the next digit (2) from the dividend after 108, then repeat: 1082 / 790

Advancing to step 6:
1082 divided by 790 is 1 with a remainder of 292.
Put 1 as the next digit of the answer. 
Result so far: 731.0
If we take 790 away from 1082, we end up with 292.
Append the next digit (9) from the dividend to 292 and continue with: 2929 / 790

Advancing to step 7:
790 goes into 2929 3 times with a remainder of 559.
The number 3 becomes the next digit in our result. 
Result so far: 7313.0
If we take 2370 away from 2929, we end up with 559.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5590, and continue the process.

Going ahead to step 8:
The number 790 fits into 5590 7 times, leaving a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 7313.7
Deduct 5530 from 5590 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
When dividing 600 by 790, we get 0 with a remainder of 600.
The number 0 becomes the next digit in our result. 
Result so far: 7313.7
The remainder is 600 after subtracting 0 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Moving on to step 10:
When dividing 6000 by 790, we get 7 with a remainder of 470.
Use 7 as the next digit of our solution. 
Result so far: 7313.707
Subtracting 5530 from 6000 leaves us with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Let's proceed to step 11:
790 goes into 4700 5 times with a remainder of 750.
Write down 5 as next digit of the result. 
Result so far: 7313.7075
Subtract 3950 from 4700 to get 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7500, and continue the process.

Advancing to step 12:
When dividing 7500 by 790, we get 9 with a remainder of 390.
Record the quotient 9 as the next digit in the result. 
Result so far: 7313.70759
If we subtract 7110 from 7500, we get 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3900, and continue the process.

Advancing to step 13:
When dividing 3900 by 790, we get 4 with a remainder of 740.
Put 4 as the next digit of the answer. 
Result so far: 7313.707594
The remainder is 740 after subtracting 3160 from 3900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

Advancing to step 14:
When dividing 7400 by 790, we get 9 with a remainder of 290.
The number 9 becomes the next digit in our result. 
Result so far: 7313.7075949
The remainder is 290 after subtracting 7110 from 7400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

On to step 15:
2900 divided by 790 is 3 with a remainder of 530.
Use 3 as the next digit of our solution. 
Result so far: 7313.70759493
Subtract 2370 from 2900 to get 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

In conclusion, the division gives 7313.70759493 with a balance of 5.3e-07.