9737777 ÷ 449 
The aim is to understand the frequency of 449 in 9737777.

On to step 1:
If we divide 9 by 449, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 449

Moving on to step 2:
If we divide 97 by 449, we get 0 and a remainder of 97.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 97 leaves us with 97.
Take the next digit (3) from the dividend and append it to 97, then repeat: 973 / 449

Moving on to step 3:
The number 449 fits into 973 2 times, leaving a remainder of 75.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 898 from 973 and we're left with 75.
Bring next digit (7) of the dividend behind the 75 and repeat the process: 757 / 449

Advancing to step 4:
757 divided by 449 is 1 with a remainder of 308.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we take 449 away from 757, we end up with 308.
Bring next digit (7) of the dividend behind the 308 and repeat the process: 3087 / 449

Moving on to step 5:
449 goes into 3087 6 times with a remainder of 393.
Record the quotient 6 as the next digit in the result. 
Result so far: 216.0
Subtract 2694 from 3087 to get 393.
Fetch the next digit (7) from the dividend, attach it to 393 and continue: 3937 / 449

Advancing to step 6:
If we divide 3937 by 449, we get 8 and a remainder of 345.
Write down 8 as next digit of the result. 
Result so far: 2168.0
The remainder is 345 after subtracting 3592 from 3937.
Fetch the next digit (7) from the dividend, attach it to 345 and continue: 3457 / 449

Moving on to step 7:
449 goes into 3457 7 times with a remainder of 314.
Record the quotient 7 as the next digit in the result. 
Result so far: 21687.0
Subtract 3143 from 3457 to get 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Going ahead to step 8:
If we divide 3140 by 449, we get 6 and a remainder of 446.
Put 6 as the next digit of the answer. 
Result so far: 21687.6
If we subtract 2694 from 3140, we get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

Going ahead to step 9:
449 goes into 4460 9 times with a remainder of 419.
Use 9 as the next digit of our solution. 
Result so far: 21687.69
Subtract 4041 from 4460 to get 419.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4190, and continue the process.

Step 10:
449 goes into 4190 9 times with a remainder of 149.
Use 9 as the next digit of our solution. 
Result so far: 21687.699
Subtracting 4041 from 4190 leaves us with 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1490, and continue the process.

The quotient of the division is 21687.699, and the remainder is 0.0149.