33409373 ÷ 971 
The aim is to understand the frequency of 971 in 33409373.

Going ahead to step 1:
The number 971 fits into 3 0 times, leaving 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.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 971

Step 2:
971 can be fit into 33 0 times, resulting in a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (4) from the dividend, attach it to 33 and continue: 334 / 971

Let's proceed to step 3:
If we divide 334 by 971, we get 0 and a remainder of 334.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 334, we end up with 334.
Bring next digit (0) of the dividend behind the 334 and repeat the process: 3340 / 971

Going ahead to step 4:
When dividing 3340 by 971, we get 3 with a remainder of 427.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 2913 from 3340, we get 427.
Fetch the next digit (9) from the dividend, attach it to 427 and continue: 4279 / 971

Moving on to step 5:
The number 971 fits into 4279 4 times, leaving a remainder of 395.
The next digit of our result is 4. 
Result so far: 34.0
Deduct 3884 from 4279 and we're left with 395.
Include the next digit (3) from the dividend after 395, then repeat: 3953 / 971

On to step 6:
971 goes into 3953 4 times with a remainder of 69.
Put 4 as the next digit of the answer. 
Result so far: 344.0
If we subtract 3884 from 3953, we get 69.
Append the next digit (7) from the dividend to 69 and continue with: 697 / 971

Going ahead to step 7:
The number 971 fits into 697 0 times, leaving a remainder of 697.
The next digit of our result is 0. 
Result so far: 3440.0
Subtracting 0 from 697 leaves us with 697.
Fetch the next digit (3) from the dividend, attach it to 697 and continue: 6973 / 971

Going ahead to step 8:
When dividing 6973 by 971, we get 7 with a remainder of 176.
Write down 7 as next digit of the result. 
Result so far: 34407.0
Deduct 6797 from 6973 and we're left with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Going ahead to step 9:
971 goes into 1760 1 times with a remainder of 789.
The next digit of our result is 1. 
Result so far: 34407.1
Subtract 971 from 1760 to get 789.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7890, and continue the process.

Moving on to step 10:
971 goes into 7890 8 times with a remainder of 122.
The next digit of our result is 8. 
Result so far: 34407.18
If we subtract 7768 from 7890, we get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Moving on to step 11:
The number 971 fits into 1220 1 times, leaving a remainder of 249.
Record the quotient 1 as the next digit in the result. 
Result so far: 34407.181
If we subtract 971 from 1220, we get 249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

Moving on to step 12:
971 goes into 2490 2 times with a remainder of 548.
Use 2 as the next digit of our solution. 
Result so far: 34407.1812
Deduct 1942 from 2490 and we're left with 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

On to step 13:
971 can be fit into 5480 5 times, resulting in a remainder of 625.
Use 5 as the next digit of our solution. 
Result so far: 34407.18125
The remainder is 625 after subtracting 4855 from 5480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

Going ahead to step 14:
If we divide 6250 by 971, we get 6 and a remainder of 424.
The number 6 becomes the next digit in our result. 
Result so far: 34407.181256
Deduct 5826 from 6250 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Step 15:
When dividing 4240 by 971, we get 4 with a remainder of 356.
Put 4 as the next digit of the answer. 
Result so far: 34407.1812564
If we take 3884 away from 4240, we end up with 356.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3560, and continue the process.

On to step 16:
If we divide 3560 by 971, we get 3 and a remainder of 647.
The number 3 becomes the next digit in our result. 
Result so far: 34407.18125643
Subtracting 2913 from 3560 leaves us with 647.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6470, and continue the process.

The quotient of the division is 34407.18125643, and the remainder is 6.47e-07.