21106210 divided by 589 
The aim is to understand the frequency of 589 in 21106210.

Going ahead to step 1:
The number 589 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 589

Advancing to step 2:
When dividing 21 by 589, we get 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 589

Going ahead to step 3:
If we divide 211 by 589, we get 0 and a remainder of 211.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 211, we end up with 211.
Append the next digit (0) from the dividend to 211 and continue with: 2110 / 589

On to step 4:
When dividing 2110 by 589, we get 3 with a remainder of 343.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 1767 from 2110 and we're left with 343.
Grab the next digit (6) from the dividend, add it to 343, then carry on: 3436 / 589

Going ahead to step 5:
When dividing 3436 by 589, we get 5 with a remainder of 491.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
The remainder is 491 after subtracting 2945 from 3436.
Grab the next digit (2) from the dividend, add it to 491, then carry on: 4912 / 589

Let's proceed to step 6:
589 can be fit into 4912 8 times, resulting in a remainder of 200.
Write down 8 as next digit of the result. 
Result so far: 358.0
If we subtract 4712 from 4912, we get 200.
Fetch the next digit (1) from the dividend, attach it to 200 and continue: 2001 / 589

Step 7:
If we divide 2001 by 589, we get 3 and a remainder of 234.
The next digit of our result is 3. 
Result so far: 3583.0
Subtract 1767 from 2001 to get 234.
Fetch the next digit (0) from the dividend, attach it to 234 and continue: 2340 / 589

Step 8:
When dividing 2340 by 589, we get 3 with a remainder of 573.
Use 3 as the next digit of our solution. 
Result so far: 35833.0
Deduct 1767 from 2340 and we're left with 573.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5730, and continue the process.

Let's proceed to step 9:
5730 divided by 589 is 9 with a remainder of 429.
Write down 9 as next digit of the result. 
Result so far: 35833.9
If we subtract 5301 from 5730, we get 429.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Step 10:
589 can be fit into 4290 7 times, resulting in a remainder of 167.
Record the quotient 7 as the next digit in the result. 
Result so far: 35833.97
The remainder is 167 after subtracting 4123 from 4290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1670, and continue the process.

Moving on to step 11:
When dividing 1670 by 589, we get 2 with a remainder of 492.
Record the quotient 2 as the next digit in the result. 
Result so far: 35833.972
If we take 1178 away from 1670, we end up with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Step 12:
589 can be fit into 4920 8 times, resulting in a remainder of 208.
Write down 8 as next digit of the result. 
Result so far: 35833.9728
Subtract 4712 from 4920 to get 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Going ahead to step 13:
589 can be fit into 2080 3 times, resulting in a remainder of 313.
Write down 3 as next digit of the result. 
Result so far: 35833.97283
If we subtract 1767 from 2080, we get 313.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3130, and continue the process.

Moving on to step 14:
589 can be fit into 3130 5 times, resulting in a remainder of 185.
The next digit of our result is 5. 
Result so far: 35833.972835
The remainder is 185 after subtracting 2945 from 3130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

On to step 15:
The number 589 fits into 1850 3 times, leaving a remainder of 83.
The next digit of our result is 3. 
Result so far: 35833.9728353
The remainder is 83 after subtracting 1767 from 1850.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 16:
The number 589 fits into 830 1 times, leaving a remainder of 241.
Record the quotient 1 as the next digit in the result. 
Result so far: 35833.97283531
The remainder is 241 after subtracting 589 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

The quotient of the division is 35833.97283531, and the remainder is 2.41e-07.