We're dividing 90021164 by 513 
We're looking to find how many times 513 goes into 90021164.

Step 1:
If we divide 9 by 513, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 513

Going ahead to step 2:
513 goes into 90 0 times with a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 90 after subtracting 0 from 90.
Append the next digit (0) from the dividend to 90 and continue with: 900 / 513

Step 3:
The number 513 fits into 900 1 times, leaving a remainder of 387.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 513 from 900 to get 387.
Take the next digit (2) from the dividend and append it to 387, then repeat: 3872 / 513

Step 4:
3872 divided by 513 is 7 with a remainder of 281.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
If we subtract 3591 from 3872, we get 281.
Include the next digit (1) from the dividend after 281, then repeat: 2811 / 513

Going ahead to step 5:
When dividing 2811 by 513, we get 5 with a remainder of 246.
Write down 5 as next digit of the result. 
Result so far: 175.0
Deduct 2565 from 2811 and we're left with 246.
Grab the next digit (1) from the dividend, add it to 246, then carry on: 2461 / 513

Let's proceed to step 6:
The number 513 fits into 2461 4 times, leaving a remainder of 409.
The number 4 becomes the next digit in our result. 
Result so far: 1754.0
The remainder is 409 after subtracting 2052 from 2461.
Bring next digit (6) of the dividend behind the 409 and repeat the process: 4096 / 513

Moving on to step 7:
The number 513 fits into 4096 7 times, leaving a remainder of 505.
The next digit of our result is 7. 
Result so far: 17547.0
The remainder is 505 after subtracting 3591 from 4096.
Append the next digit (4) from the dividend to 505 and continue with: 5054 / 513

Going ahead to step 8:
513 goes into 5054 9 times with a remainder of 437.
Record the quotient 9 as the next digit in the result. 
Result so far: 175479.0
Subtract 4617 from 5054 to get 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Moving on to step 9:
513 goes into 4370 8 times with a remainder of 266.
The number 8 becomes the next digit in our result. 
Result so far: 175479.8
If we subtract 4104 from 4370, we get 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Advancing to step 10:
If we divide 2660 by 513, we get 5 and a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 175479.85
The remainder is 95 after subtracting 2565 from 2660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Advancing to step 11:
513 can be fit into 950 1 times, resulting in a remainder of 437.
Record the quotient 1 as the next digit in the result. 
Result so far: 175479.851
If we take 513 away from 950, we end up with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Step 12:
4370 divided by 513 is 8 with a remainder of 266.
The number 8 becomes the next digit in our result. 
Result so far: 175479.8518
If we take 4104 away from 4370, we end up with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

On to step 13:
513 goes into 2660 5 times with a remainder of 95.
Use 5 as the next digit of our solution. 
Result so far: 175479.85185
If we take 2565 away from 2660, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Step 14:
The number 513 fits into 950 1 times, leaving a remainder of 437.
Write down 1 as next digit of the result. 
Result so far: 175479.851851
Deduct 513 from 950 and we're left with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Advancing to step 15:
513 goes into 4370 8 times with a remainder of 266.
The next digit of our result is 8. 
Result so far: 175479.8518518
Deduct 4104 from 4370 and we're left with 266.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2660, and continue the process.

Moving on to step 16:
513 goes into 2660 5 times with a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 175479.85185185
Subtracting 2565 from 2660 leaves us with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

The final result is 175479.85185185 with a remainder of 9.5e-08.