87164085 ÷ 105 
We want to figure out the number of times 87164085 can be divided by 105.

Advancing to step 1:
When dividing 8 by 105, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 105

Moving on to step 2:
105 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
Subtracting 0 from 87 leaves us with 87.
Take the next digit (1) from the dividend and append it to 87, then repeat: 871 / 105

Advancing to step 3:
871 divided by 105 is 8 with a remainder of 31.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 840 from 871, we get 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 105

Moving on to step 4:
The number 105 fits into 316 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Subtracting 315 from 316 leaves us with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 105

Let's proceed to step 5:
14 divided by 105 is 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 830.0
Deduct 0 from 14 and we're left with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 105

Let's proceed to step 6:
The number 105 fits into 140 1 times, leaving a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 8301.0
Subtracting 105 from 140 leaves us with 35.
Include the next digit (8) from the dividend after 35, then repeat: 358 / 105

Going ahead to step 7:
The number 105 fits into 358 3 times, leaving a remainder of 43.
The next digit of our result is 3. 
Result so far: 83013.0
If we subtract 315 from 358, we get 43.
Fetch the next digit (5) from the dividend, attach it to 43 and continue: 435 / 105

On to step 8:
105 goes into 435 4 times with a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 830134.0
Deduct 420 from 435 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
105 goes into 150 1 times with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 830134.1
Deduct 105 from 150 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
If we divide 450 by 105, we get 4 and a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 830134.14
The remainder is 30 after subtracting 420 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
The number 105 fits into 300 2 times, leaving a remainder of 90.
The next digit of our result is 2. 
Result so far: 830134.142
Subtract 210 from 300 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 12:
If we divide 900 by 105, we get 8 and a remainder of 60.
Use 8 as the next digit of our solution. 
Result so far: 830134.1428
If we take 840 away from 900, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
105 can be fit into 600 5 times, resulting in a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 830134.14285
If we subtract 525 from 600, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 14:
The number 105 fits into 750 7 times, leaving a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 830134.142857
If we subtract 735 from 750, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 15:
105 can be fit into 150 1 times, resulting in a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 830134.1428571
The remainder is 45 after subtracting 105 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 16:
105 goes into 450 4 times with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 830134.14285714
Subtract 420 from 450 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 830134.14285714, with a leftover of 3e-08.