We look at the division of 9661037 by 584 
Let's see how many times 584 fits into 9661037.

Going ahead to step 1:
584 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 584

Advancing to step 2:
The number 584 fits into 96 0 times, leaving a remainder of 96.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 96, we end up with 96.
Fetch the next digit (6) from the dividend, attach it to 96 and continue: 966 / 584

Advancing to step 3:
966 divided by 584 is 1 with a remainder of 382.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 382 after subtracting 584 from 966.
Bring next digit (1) of the dividend behind the 382 and repeat the process: 3821 / 584

Moving on to step 4:
3821 divided by 584 is 6 with a remainder of 317.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 3504 away from 3821, we end up with 317.
Fetch the next digit (0) from the dividend, attach it to 317 and continue: 3170 / 584

Let's proceed to step 5:
The number 584 fits into 3170 5 times, leaving a remainder of 250.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
The remainder is 250 after subtracting 2920 from 3170.
Take the next digit (3) from the dividend and append it to 250, then repeat: 2503 / 584

Let's proceed to step 6:
If we divide 2503 by 584, we get 4 and a remainder of 167.
Write down 4 as next digit of the result. 
Result so far: 1654.0
If we subtract 2336 from 2503, we get 167.
Include the next digit (7) from the dividend after 167, then repeat: 1677 / 584

On to step 7:
If we divide 1677 by 584, we get 2 and a remainder of 509.
The next digit of our result is 2. 
Result so far: 16542.0
The remainder is 509 after subtracting 1168 from 1677.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5090, and continue the process.

Let's proceed to step 8:
When dividing 5090 by 584, we get 8 with a remainder of 418.
Use 8 as the next digit of our solution. 
Result so far: 16542.8
Deduct 4672 from 5090 and we're left with 418.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4180, and continue the process.

Going ahead to step 9:
If we divide 4180 by 584, we get 7 and a remainder of 92.
The next digit of our result is 7. 
Result so far: 16542.87
Subtract 4088 from 4180 to get 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Step 10:
584 can be fit into 920 1 times, resulting in a remainder of 336.
Put 1 as the next digit of the answer. 
Result so far: 16542.871
Subtracting 584 from 920 leaves us with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

On to step 11:
The number 584 fits into 3360 5 times, leaving a remainder of 440.
Put 5 as the next digit of the answer. 
Result so far: 16542.8715
If we subtract 2920 from 3360, we get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Let's proceed to step 12:
When dividing 4400 by 584, we get 7 with a remainder of 312.
Write down 7 as next digit of the result. 
Result so far: 16542.87157
If we subtract 4088 from 4400, we get 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Going ahead to step 13:
The number 584 fits into 3120 5 times, leaving a remainder of 200.
Use 5 as the next digit of our solution. 
Result so far: 16542.871575
Subtracting 2920 from 3120 leaves us with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Let's proceed to step 14:
The number 584 fits into 2000 3 times, leaving a remainder of 248.
The number 3 becomes the next digit in our result. 
Result so far: 16542.8715753
Subtract 1752 from 2000 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Let's proceed to step 15:
The number 584 fits into 2480 4 times, leaving a remainder of 144.
Write down 4 as next digit of the result. 
Result so far: 16542.87157534
If we take 2336 away from 2480, we end up with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

In conclusion, the division gives 16542.87157534 with a balance of 1.44e-07.