5362981 ÷ 971 
The aim is to understand the frequency of 971 in 5362981.

Moving on to step 1:
5 divided by 971 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 971

Going ahead to step 2:
53 divided by 971 is 0 with a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 53 leaves us with 53.
Append the next digit (6) from the dividend to 53 and continue with: 536 / 971

Going ahead to step 3:
The number 971 fits into 536 0 times, leaving a remainder of 536.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 536 after subtracting 0 from 536.
Append the next digit (2) from the dividend to 536 and continue with: 5362 / 971

Step 4:
The number 971 fits into 5362 5 times, leaving a remainder of 507.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 4855 from 5362 to get 507.
Grab the next digit (9) from the dividend, add it to 507, then carry on: 5079 / 971

Advancing to step 5:
When dividing 5079 by 971, we get 5 with a remainder of 224.
Put 5 as the next digit of the answer. 
Result so far: 55.0
Subtract 4855 from 5079 to get 224.
Grab the next digit (8) from the dividend, add it to 224, then carry on: 2248 / 971

Advancing to step 6:
If we divide 2248 by 971, we get 2 and a remainder of 306.
Record the quotient 2 as the next digit in the result. 
Result so far: 552.0
If we take 1942 away from 2248, we end up with 306.
Grab the next digit (1) from the dividend, add it to 306, then carry on: 3061 / 971

Let's proceed to step 7:
If we divide 3061 by 971, we get 3 and a remainder of 148.
The next digit of our result is 3. 
Result so far: 5523.0
Deduct 2913 from 3061 and we're left with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Going ahead to step 8:
If we divide 1480 by 971, we get 1 and a remainder of 509.
Record the quotient 1 as the next digit in the result. 
Result so far: 5523.1
Subtracting 971 from 1480 leaves us with 509.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5090, and continue the process.

Step 9:
The number 971 fits into 5090 5 times, leaving a remainder of 235.
The number 5 becomes the next digit in our result. 
Result so far: 5523.15
Subtract 4855 from 5090 to 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.

On to step 10:
2350 divided by 971 is 2 with a remainder of 408.
Record the quotient 2 as the next digit in the result. 
Result so far: 5523.152
The remainder is 408 after subtracting 1942 from 2350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Step 11:
If we divide 4080 by 971, we get 4 and a remainder of 196.
Write down 4 as next digit of the result. 
Result so far: 5523.1524
The remainder is 196 after subtracting 3884 from 4080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Let's proceed to step 12:
If we divide 1960 by 971, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 5523.15242
The remainder is 18 after subtracting 1942 from 1960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 13:
The number 971 fits into 180 0 times, leaving a remainder of 180.
The number 0 becomes the next digit in our result. 
Result so far: 5523.15242
Deduct 0 from 180 and we're left with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 14:
971 goes into 1800 1 times with a remainder of 829.
Write down 1 as next digit of the result. 
Result so far: 5523.1524201
Subtracting 971 from 1800 leaves us with 829.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8290, and continue the process.

On to step 15:
971 goes into 8290 8 times with a remainder of 522.
Write down 8 as next digit of the result. 
Result so far: 5523.15242018
If we subtract 7768 from 8290, we get 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

Our division results in 5523.15242018 with a remaining 5.22e-07.