10086165 ÷ 931 
We want to figure out the number of times 10086165 can be divided by 931.

Step 1:
The number 931 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 931

Step 2:
10 divided by 931 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 931

On to step 3:
If we divide 100 by 931, we get 0 and a remainder of 100.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 100 and we're left with 100.
Grab the next digit (8) from the dividend, add it to 100, then carry on: 1008 / 931

Advancing to step 4:
When dividing 1008 by 931, we get 1 with a remainder of 77.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 931 from 1008, we get 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 931

Moving on to step 5:
If we divide 776 by 931, we get 0 and a remainder of 776.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 776 leaves us with 776.
Include the next digit (1) from the dividend after 776, then repeat: 7761 / 931

On to step 6:
931 can be fit into 7761 8 times, resulting in a remainder of 313.
Put 8 as the next digit of the answer. 
Result so far: 108.0
Subtract 7448 from 7761 to get 313.
Take the next digit (6) from the dividend and append it to 313, then repeat: 3136 / 931

Moving on to step 7:
3136 divided by 931 is 3 with a remainder of 343.
Use 3 as the next digit of our solution. 
Result so far: 1083.0
Subtracting 2793 from 3136 leaves us with 343.
Grab the next digit (5) from the dividend, add it to 343, then carry on: 3435 / 931

Let's proceed to step 8:
The number 931 fits into 3435 3 times, leaving a remainder of 642.
The next digit of our result is 3. 
Result so far: 10833.0
The remainder is 642 after subtracting 2793 from 3435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Advancing to step 9:
931 can be fit into 6420 6 times, resulting in a remainder of 834.
Record the quotient 6 as the next digit in the result. 
Result so far: 10833.6
Subtracting 5586 from 6420 leaves us with 834.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8340, and continue the process.

On to step 10:
8340 divided by 931 is 8 with a remainder of 892.
Use 8 as the next digit of our solution. 
Result so far: 10833.68
Subtracting 7448 from 8340 leaves us with 892.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8920, and continue the process.

Advancing to step 11:
931 goes into 8920 9 times with a remainder of 541.
Write down 9 as next digit of the result. 
Result so far: 10833.689
Subtract 8379 from 8920 to get 541.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5410, and continue the process.

Advancing to step 12:
If we divide 5410 by 931, we get 5 and a remainder of 755.
The number 5 becomes the next digit in our result. 
Result so far: 10833.6895
Deduct 4655 from 5410 and we're left with 755.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7550, and continue the process.

Let's proceed to step 13:
931 goes into 7550 8 times with a remainder of 102.
Write down 8 as next digit of the result. 
Result so far: 10833.68958
If we subtract 7448 from 7550, we get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Moving on to step 14:
If we divide 1020 by 931, we get 1 and a remainder of 89.
Record the quotient 1 as the next digit in the result. 
Result so far: 10833.689581
The remainder is 89 after subtracting 931 from 1020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

On to step 15:
If we divide 890 by 931, we get 0 and a remainder of 890.
Record the quotient 0 as the next digit in the result. 
Result so far: 10833.689581
Deduct 0 from 890 and we're left with 890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8900, and continue the process.

Let's proceed to step 16:
8900 divided by 931 is 9 with a remainder of 521.
Use 9 as the next digit of our solution. 
Result so far: 10833.68958109
If we take 8379 away from 8900, we end up with 521.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5210, and continue the process.

The quotient of the division is 10833.68958109, and the remainder is 5.21e-07.