71257441 divided by 689 
The aim is to understand the frequency of 689 in 71257441.

Step 1:
If we divide 7 by 689, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 689

Going ahead to step 2:
71 divided by 689 is 0 with a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Include the next digit (2) from the dividend after 71, then repeat: 712 / 689

Step 3:
712 divided by 689 is 1 with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 689 from 712 and we're left with 23.
Append the next digit (5) from the dividend to 23 and continue with: 235 / 689

Going ahead to step 4:
When dividing 235 by 689, we get 0 with a remainder of 235.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 235 and we're left with 235.
Bring next digit (7) of the dividend behind the 235 and repeat the process: 2357 / 689

On to step 5:
2357 divided by 689 is 3 with a remainder of 290.
Record the quotient 3 as the next digit in the result. 
Result so far: 103.0
Subtract 2067 from 2357 to get 290.
Grab the next digit (4) from the dividend, add it to 290, then carry on: 2904 / 689

On to step 6:
689 goes into 2904 4 times with a remainder of 148.
The number 4 becomes the next digit in our result. 
Result so far: 1034.0
Deduct 2756 from 2904 and we're left with 148.
Include the next digit (4) from the dividend after 148, then repeat: 1484 / 689

Let's proceed to step 7:
1484 divided by 689 is 2 with a remainder of 106.
The next digit of our result is 2. 
Result so far: 10342.0
Subtracting 1378 from 1484 leaves us with 106.
Include the next digit (1) from the dividend after 106, then repeat: 1061 / 689

Advancing to step 8:
When dividing 1061 by 689, we get 1 with a remainder of 372.
Record the quotient 1 as the next digit in the result. 
Result so far: 103421.0
The remainder is 372 after subtracting 689 from 1061.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3720, and continue the process.

On to step 9:
The number 689 fits into 3720 5 times, leaving a remainder of 275.
Put 5 as the next digit of the answer. 
Result so far: 103421.5
Subtracting 3445 from 3720 leaves us with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Going ahead to step 10:
689 goes into 2750 3 times with a remainder of 683.
Record the quotient 3 as the next digit in the result. 
Result so far: 103421.53
Deduct 2067 from 2750 and we're left with 683.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6830, and continue the process.

On to step 11:
If we divide 6830 by 689, we get 9 and a remainder of 629.
Record the quotient 9 as the next digit in the result. 
Result so far: 103421.539
If we subtract 6201 from 6830, we get 629.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6290, and continue the process.

On to step 12:
6290 divided by 689 is 9 with a remainder of 89.
The number 9 becomes the next digit in our result. 
Result so far: 103421.5399
Subtract 6201 from 6290 to get 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

The final result is 103421.5399 with a remainder of 0.00089.