87214531 ÷ 410 
The aim is to understand the frequency of 410 in 87214531.

Advancing to step 1:
8 divided by 410 is 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 410

Moving on to step 2:
When dividing 87 by 410, we get 0 with a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Append the next digit (2) from the dividend to 87 and continue with: 872 / 410

Going ahead to step 3:
If we divide 872 by 410, we get 2 and a remainder of 52.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 820 from 872 leaves us with 52.
Include the next digit (1) from the dividend after 52, then repeat: 521 / 410

Going ahead to step 4:
521 divided by 410 is 1 with a remainder of 111.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtract 410 from 521 to get 111.
Fetch the next digit (4) from the dividend, attach it to 111 and continue: 1114 / 410

Going ahead to step 5:
410 goes into 1114 2 times with a remainder of 294.
Put 2 as the next digit of the answer. 
Result so far: 212.0
If we take 820 away from 1114, we end up with 294.
Fetch the next digit (5) from the dividend, attach it to 294 and continue: 2945 / 410

Advancing to step 6:
If we divide 2945 by 410, we get 7 and a remainder of 75.
The next digit of our result is 7. 
Result so far: 2127.0
Subtract 2870 from 2945 to get 75.
Bring next digit (3) of the dividend behind the 75 and repeat the process: 753 / 410

Step 7:
410 goes into 753 1 times with a remainder of 343.
The next digit of our result is 1. 
Result so far: 21271.0
Subtracting 410 from 753 leaves us with 343.
Fetch the next digit (1) from the dividend, attach it to 343 and continue: 3431 / 410

Going ahead to step 8:
410 can be fit into 3431 8 times, resulting in a remainder of 151.
The number 8 becomes the next digit in our result. 
Result so far: 212718.0
Subtract 3280 from 3431 to get 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

On to step 9:
The number 410 fits into 1510 3 times, leaving a remainder of 280.
Record the quotient 3 as the next digit in the result. 
Result so far: 212718.3
If we subtract 1230 from 1510, we get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Let's proceed to step 10:
2800 divided by 410 is 6 with a remainder of 340.
Use 6 as the next digit of our solution. 
Result so far: 212718.36
The remainder is 340 after subtracting 2460 from 2800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Going ahead to step 11:
If we divide 3400 by 410, we get 8 and a remainder of 120.
The number 8 becomes the next digit in our result. 
Result so far: 212718.368
Deduct 3280 from 3400 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 12:
1200 divided by 410 is 2 with a remainder of 380.
The next digit of our result is 2. 
Result so far: 212718.3682
Subtracting 820 from 1200 leaves us with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Advancing to step 13:
410 can be fit into 3800 9 times, resulting in a remainder of 110.
Write down 9 as next digit of the result. 
Result so far: 212718.36829
If we subtract 3690 from 3800, we get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Step 14:
410 can be fit into 1100 2 times, resulting in a remainder of 280.
Put 2 as the next digit of the answer. 
Result so far: 212718.368292
Subtract 820 from 1100 to get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 15:
2800 divided by 410 is 6 with a remainder of 340.
Put 6 as the next digit of the answer. 
Result so far: 212718.3682926
Subtracting 2460 from 2800 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Step 16:
410 can be fit into 3400 8 times, resulting in a remainder of 120.
The number 8 becomes the next digit in our result. 
Result so far: 212718.36829268
If we take 3280 away from 3400, we end up with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

In conclusion, the division gives 212718.36829268 with a balance of 1.2e-07.