35771931 ÷ 653 
The aim is to understand the frequency of 653 in 35771931.

Moving on to step 1:
When dividing 3 by 653, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 653

Step 2:
653 can be fit into 35 0 times, resulting in a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Take the next digit (7) from the dividend and append it to 35, then repeat: 357 / 653

On to step 3:
653 can be fit into 357 0 times, resulting in a remainder of 357.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 357 after subtracting 0 from 357.
Bring next digit (7) of the dividend behind the 357 and repeat the process: 3577 / 653

Moving on to step 4:
The number 653 fits into 3577 5 times, leaving a remainder of 312.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 312 after subtracting 3265 from 3577.
Bring next digit (1) of the dividend behind the 312 and repeat the process: 3121 / 653

Moving on to step 5:
When dividing 3121 by 653, we get 4 with a remainder of 509.
Use 4 as the next digit of our solution. 
Result so far: 54.0
Deduct 2612 from 3121 and we're left with 509.
Grab the next digit (9) from the dividend, add it to 509, then carry on: 5099 / 653

On to step 6:
The number 653 fits into 5099 7 times, leaving a remainder of 528.
Put 7 as the next digit of the answer. 
Result so far: 547.0
If we take 4571 away from 5099, we end up with 528.
Fetch the next digit (3) from the dividend, attach it to 528 and continue: 5283 / 653

Going ahead to step 7:
653 can be fit into 5283 8 times, resulting in a remainder of 59.
The next digit of our result is 8. 
Result so far: 5478.0
The remainder is 59 after subtracting 5224 from 5283.
Append the next digit (1) from the dividend to 59 and continue with: 591 / 653

Step 8:
If we divide 591 by 653, we get 0 and a remainder of 591.
Put 0 as the next digit of the answer. 
Result so far: 54780.0
The remainder is 591 after subtracting 0 from 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Going ahead to step 9:
When dividing 5910 by 653, we get 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 54780.9
Deduct 5877 from 5910 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 10:
The number 653 fits into 330 0 times, leaving a remainder of 330.
Put 0 as the next digit of the answer. 
Result so far: 54780.9
If we take 0 away from 330, we end up with 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Let's proceed to step 11:
The number 653 fits into 3300 5 times, leaving a remainder of 35.
The next digit of our result is 5. 
Result so far: 54780.905
If we subtract 3265 from 3300, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 12:
653 can be fit into 350 0 times, resulting in a remainder of 350.
Put 0 as the next digit of the answer. 
Result so far: 54780.905
Subtracting 0 from 350 leaves us with 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

Advancing to step 13:
The number 653 fits into 3500 5 times, leaving a remainder of 235.
Use 5 as the next digit of our solution. 
Result so far: 54780.90505
If we subtract 3265 from 3500, we get 235.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2350, and continue the process.

Advancing to step 14:
The number 653 fits into 2350 3 times, leaving a remainder of 391.
The number 3 becomes the next digit in our result. 
Result so far: 54780.905053
If we take 1959 away from 2350, we end up with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

Step 15:
If we divide 3910 by 653, we get 5 and a remainder of 645.
Use 5 as the next digit of our solution. 
Result so far: 54780.9050535
If we subtract 3265 from 3910, we get 645.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6450, and continue the process.

Let's proceed to step 16:
653 goes into 6450 9 times with a remainder of 573.
Put 9 as the next digit of the answer. 
Result so far: 54780.90505359
If we subtract 5877 from 6450, we get 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

The final result is 54780.90505359 with a remainder of 5.73e-07.