We look at the division of 9645372 by 586 
Our goal is to divide 9645372 by 586.

On to step 1:
If we divide 9 by 586, we get 0 and a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 586

Advancing to step 2:
586 goes into 96 0 times with a remainder of 96.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 96, we get 96.
Fetch the next digit (4) from the dividend, attach it to 96 and continue: 964 / 586

Let's proceed to step 3:
If we divide 964 by 586, we get 1 and a remainder of 378.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 586 away from 964, we end up with 378.
Include the next digit (5) from the dividend after 378, then repeat: 3785 / 586

Moving on to step 4:
586 goes into 3785 6 times with a remainder of 269.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 3516 from 3785, we get 269.
Grab the next digit (3) from the dividend, add it to 269, then carry on: 2693 / 586

On to step 5:
When dividing 2693 by 586, we get 4 with a remainder of 349.
The number 4 becomes the next digit in our result. 
Result so far: 164.0
The remainder is 349 after subtracting 2344 from 2693.
Fetch the next digit (7) from the dividend, attach it to 349 and continue: 3497 / 586

Step 6:
The number 586 fits into 3497 5 times, leaving a remainder of 567.
The next digit of our result is 5. 
Result so far: 1645.0
If we subtract 2930 from 3497, we get 567.
Grab the next digit (2) from the dividend, add it to 567, then carry on: 5672 / 586

Going ahead to step 7:
The number 586 fits into 5672 9 times, leaving a remainder of 398.
The next digit of our result is 9. 
Result so far: 16459.0
Deduct 5274 from 5672 and we're left with 398.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3980, and continue the process.

Moving on to step 8:
When dividing 3980 by 586, we get 6 with a remainder of 464.
Put 6 as the next digit of the answer. 
Result so far: 16459.6
If we take 3516 away from 3980, we end up with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Step 9:
586 goes into 4640 7 times with a remainder of 538.
Write down 7 as next digit of the result. 
Result so far: 16459.67
Subtract 4102 from 4640 to get 538.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5380, and continue the process.

Moving on to step 10:
If we divide 5380 by 586, we get 9 and a remainder of 106.
The number 9 becomes the next digit in our result. 
Result so far: 16459.679
If we subtract 5274 from 5380, we get 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Advancing to step 11:
The number 586 fits into 1060 1 times, leaving a remainder of 474.
Use 1 as the next digit of our solution. 
Result so far: 16459.6791
Subtract 586 from 1060 to get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Step 12:
When dividing 4740 by 586, we get 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 16459.67918
Subtracting 4688 from 4740 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 13:
The number 586 fits into 520 0 times, leaving a remainder of 520.
The number 0 becomes the next digit in our result. 
Result so far: 16459.67918
Subtracting 0 from 520 leaves us with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Advancing to step 14:
586 can be fit into 5200 8 times, resulting in a remainder of 512.
Record the quotient 8 as the next digit in the result. 
Result so far: 16459.6791808
Subtracting 4688 from 5200 leaves us with 512.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

Moving on to step 15:
If we divide 5120 by 586, we get 8 and a remainder of 432.
Put 8 as the next digit of the answer. 
Result so far: 16459.67918088
Subtracting 4688 from 5120 leaves us with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

The final result is 16459.67918088 with a remainder of 4.32e-07.