15839770 ÷ 513 
The aim is to understand the frequency of 513 in 15839770.

Going ahead to step 1:
If we divide 1 by 513, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 513

Advancing to step 2:
If we divide 15 by 513, we get 0 and a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Bring next digit (8) of the dividend behind the 15 and repeat the process: 158 / 513

On to step 3:
If we divide 158 by 513, we get 0 and a remainder of 158.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 158 to get 158.
Append the next digit (3) from the dividend to 158 and continue with: 1583 / 513

On to step 4:
513 can be fit into 1583 3 times, resulting in a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 1539 away from 1583, we end up with 44.
Fetch the next digit (9) from the dividend, attach it to 44 and continue: 449 / 513

Step 5:
If we divide 449 by 513, we get 0 and a remainder of 449.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
Deduct 0 from 449 and we're left with 449.
Bring next digit (7) of the dividend behind the 449 and repeat the process: 4497 / 513

Moving on to step 6:
513 can be fit into 4497 8 times, resulting in a remainder of 393.
Record the quotient 8 as the next digit in the result. 
Result so far: 308.0
The remainder is 393 after subtracting 4104 from 4497.
Take the next digit (7) from the dividend and append it to 393, then repeat: 3937 / 513

Advancing to step 7:
513 can be fit into 3937 7 times, resulting in a remainder of 346.
Write down 7 as next digit of the result. 
Result so far: 3087.0
Subtracting 3591 from 3937 leaves us with 346.
Fetch the next digit (0) from the dividend, attach it to 346 and continue: 3460 / 513

On to step 8:
When dividing 3460 by 513, we get 6 with a remainder of 382.
Put 6 as the next digit of the answer. 
Result so far: 30876.0
If we subtract 3078 from 3460, we get 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Moving on to step 9:
513 can be fit into 3820 7 times, resulting in a remainder of 229.
The next digit of our result is 7. 
Result so far: 30876.7
Deduct 3591 from 3820 and we're left with 229.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Advancing to step 10:
513 goes into 2290 4 times with a remainder of 238.
The number 4 becomes the next digit in our result. 
Result so far: 30876.74
Deduct 2052 from 2290 and we're left with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Step 11:
When dividing 2380 by 513, we get 4 with a remainder of 328.
Record the quotient 4 as the next digit in the result. 
Result so far: 30876.744
If we subtract 2052 from 2380, we get 328.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3280, and continue the process.

The final result is 30876.744 with a remainder of 0.0328.