87200142 ÷ 516 
We want to figure out the number of times 87200142 can be divided by 516.

Moving on to step 1:
516 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 516

Advancing to step 2:
516 can be fit into 87 0 times, resulting in a remainder of 87.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 87, we get 87.
Grab the next digit (2) from the dividend, add it to 87, then carry on: 872 / 516

On to step 3:
If we divide 872 by 516, we get 1 and a remainder of 356.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 516 away from 872, we end up with 356.
Take the next digit (0) from the dividend and append it to 356, then repeat: 3560 / 516

Advancing to step 4:
When dividing 3560 by 516, we get 6 with a remainder of 464.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 3096 from 3560 to get 464.
Bring next digit (0) of the dividend behind the 464 and repeat the process: 4640 / 516

On to step 5:
When dividing 4640 by 516, we get 8 with a remainder of 512.
The next digit of our result is 8. 
Result so far: 168.0
If we take 4128 away from 4640, we end up with 512.
Take the next digit (1) from the dividend and append it to 512, then repeat: 5121 / 516

On to step 6:
The number 516 fits into 5121 9 times, leaving a remainder of 477.
Put 9 as the next digit of the answer. 
Result so far: 1689.0
Subtract 4644 from 5121 to get 477.
Fetch the next digit (4) from the dividend, attach it to 477 and continue: 4774 / 516

Let's proceed to step 7:
When dividing 4774 by 516, we get 9 with a remainder of 130.
Write down 9 as next digit of the result. 
Result so far: 16899.0
Subtract 4644 from 4774 to get 130.
Grab the next digit (2) from the dividend, add it to 130, then carry on: 1302 / 516

Going ahead to step 8:
1302 divided by 516 is 2 with a remainder of 270.
Write down 2 as next digit of the result. 
Result so far: 168992.0
If we take 1032 away from 1302, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Advancing to step 9:
The number 516 fits into 2700 5 times, leaving a remainder of 120.
The number 5 becomes the next digit in our result. 
Result so far: 168992.5
Deduct 2580 from 2700 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.

Going ahead to step 10:
516 can be fit into 1200 2 times, resulting in a remainder of 168.
Use 2 as the next digit of our solution. 
Result so far: 168992.52
Subtract 1032 from 1200 to get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Advancing to step 11:
1680 divided by 516 is 3 with a remainder of 132.
Put 3 as the next digit of the answer. 
Result so far: 168992.523
Subtract 1548 from 1680 to get 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Going ahead to step 12:
The number 516 fits into 1320 2 times, leaving a remainder of 288.
Use 2 as the next digit of our solution. 
Result so far: 168992.5232
If we take 1032 away from 1320, we end up with 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Advancing to step 13:
516 goes into 2880 5 times with a remainder of 300.
The next digit of our result is 5. 
Result so far: 168992.52325
Subtract 2580 from 2880 to get 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

On to step 14:
516 can be fit into 3000 5 times, resulting in a remainder of 420.
The next digit of our result is 5. 
Result so far: 168992.523255
If we take 2580 away from 3000, we end up with 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

In conclusion, the division gives 168992.523255 with a balance of 4.2e-05.