We're dividing 35970213 by 680 
The aim is to understand the frequency of 680 in 35970213.

Advancing to step 1:
3 divided by 680 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 680

Going ahead to step 2:
When dividing 35 by 680, we get 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 680

Advancing to step 3:
The number 680 fits into 359 0 times, leaving a remainder of 359.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 359 after subtracting 0 from 359.
Grab the next digit (7) from the dividend, add it to 359, then carry on: 3597 / 680

Going ahead to step 4:
The number 680 fits into 3597 5 times, leaving a remainder of 197.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 3400 away from 3597, we end up with 197.
Grab the next digit (0) from the dividend, add it to 197, then carry on: 1970 / 680

Moving on to step 5:
The number 680 fits into 1970 2 times, leaving a remainder of 610.
Use 2 as the next digit of our solution. 
Result so far: 52.0
If we subtract 1360 from 1970, we get 610.
Bring next digit (2) of the dividend behind the 610 and repeat the process: 6102 / 680

Going ahead to step 6:
If we divide 6102 by 680, we get 8 and a remainder of 662.
Write down 8 as next digit of the result. 
Result so far: 528.0
Subtract 5440 from 6102 to get 662.
Take the next digit (1) from the dividend and append it to 662, then repeat: 6621 / 680

On to step 7:
If we divide 6621 by 680, we get 9 and a remainder of 501.
The number 9 becomes the next digit in our result. 
Result so far: 5289.0
If we take 6120 away from 6621, we end up with 501.
Take the next digit (3) from the dividend and append it to 501, then repeat: 5013 / 680

Step 8:
If we divide 5013 by 680, we get 7 and a remainder of 253.
Write down 7 as next digit of the result. 
Result so far: 52897.0
Deduct 4760 from 5013 and we're left with 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

On to step 9:
680 goes into 2530 3 times with a remainder of 490.
Record the quotient 3 as the next digit in the result. 
Result so far: 52897.3
If we take 2040 away from 2530, we end up with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

On to step 10:
680 goes into 4900 7 times with a remainder of 140.
Use 7 as the next digit of our solution. 
Result so far: 52897.37
Deduct 4760 from 4900 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Step 11:
The number 680 fits into 1400 2 times, leaving a remainder of 40.
The next digit of our result is 2. 
Result so far: 52897.372
Subtract 1360 from 1400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
If we divide 400 by 680, we get 0 and a remainder of 400.
Record the quotient 0 as the next digit in the result. 
Result so far: 52897.372
If we take 0 away from 400, we end up with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 13:
680 goes into 4000 5 times with a remainder of 600.
Record the quotient 5 as the next digit in the result. 
Result so far: 52897.37205
Subtract 3400 from 4000 to get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Advancing to step 14:
The number 680 fits into 6000 8 times, leaving a remainder of 560.
Put 8 as the next digit of the answer. 
Result so far: 52897.372058
Subtract 5440 from 6000 to get 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Advancing to step 15:
5600 divided by 680 is 8 with a remainder of 160.
Put 8 as the next digit of the answer. 
Result so far: 52897.3720588
If we take 5440 away from 5600, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

The final result is 52897.3720588 with a remainder of 1.6e-06.