5305415 ÷ 871 
We want to figure out the number of times 5305415 can be divided by 871.

Let's proceed to step 1:
The number 871 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 871

Moving on to step 2:
53 divided by 871 is 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 53 after subtracting 0 from 53.
Append the next digit (0) from the dividend to 53 and continue with: 530 / 871

Step 3:
871 goes into 530 0 times with a remainder of 530.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 530 leaves us with 530.
Grab the next digit (5) from the dividend, add it to 530, then carry on: 5305 / 871

Step 4:
871 goes into 5305 6 times with a remainder of 79.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 79 after subtracting 5226 from 5305.
Fetch the next digit (4) from the dividend, attach it to 79 and continue: 794 / 871

Let's proceed to step 5:
If we divide 794 by 871, we get 0 and a remainder of 794.
Write down 0 as next digit of the result. 
Result so far: 60.0
Subtract 0 from 794 to get 794.
Grab the next digit (1) from the dividend, add it to 794, then carry on: 7941 / 871

Going ahead to step 6:
When dividing 7941 by 871, we get 9 with a remainder of 102.
Record the quotient 9 as the next digit in the result. 
Result so far: 609.0
Subtracting 7839 from 7941 leaves us with 102.
Append the next digit (5) from the dividend to 102 and continue with: 1025 / 871

Let's proceed to step 7:
1025 divided by 871 is 1 with a remainder of 154.
Put 1 as the next digit of the answer. 
Result so far: 6091.0
Subtracting 871 from 1025 leaves us with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Step 8:
871 goes into 1540 1 times with a remainder of 669.
The number 1 becomes the next digit in our result. 
Result so far: 6091.1
Deduct 871 from 1540 and we're left with 669.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6690, and continue the process.

Going ahead to step 9:
When dividing 6690 by 871, we get 7 with a remainder of 593.
Put 7 as the next digit of the answer. 
Result so far: 6091.17
Deduct 6097 from 6690 and we're left with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Going ahead to step 10:
When dividing 5930 by 871, we get 6 with a remainder of 704.
The number 6 becomes the next digit in our result. 
Result so far: 6091.176
If we take 5226 away from 5930, we end up with 704.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7040, and continue the process.

Step 11:
The number 871 fits into 7040 8 times, leaving a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 6091.1768
The remainder is 72 after subtracting 6968 from 7040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
720 divided by 871 is 0 with a remainder of 720.
Put 0 as the next digit of the answer. 
Result so far: 6091.1768
Subtract 0 from 720 to get 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

On to step 13:
7200 divided by 871 is 8 with a remainder of 232.
Record the quotient 8 as the next digit in the result. 
Result so far: 6091.176808
Subtracting 6968 from 7200 leaves us with 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2320, and continue the process.

Moving on to step 14:
If we divide 2320 by 871, we get 2 and a remainder of 578.
The next digit of our result is 2. 
Result so far: 6091.1768082
Deduct 1742 from 2320 and we're left with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Going ahead to step 15:
871 goes into 5780 6 times with a remainder of 554.
Write down 6 as next digit of the result. 
Result so far: 6091.17680826
If we take 5226 away from 5780, we end up with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

The quotient of the division is 6091.17680826, and the remainder is 5.54e-07.