We look at the division of 2661477 by 586 
We want to figure out the number of times 2661477 can be divided by 586.

Moving on to step 1:
The number 586 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 586

Moving on to step 2:
The number 586 fits into 26 0 times, leaving a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Take the next digit (6) from the dividend and append it to 26, then repeat: 266 / 586

Moving on to step 3:
266 divided by 586 is 0 with a remainder of 266.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 266 leaves us with 266.
Grab the next digit (1) from the dividend, add it to 266, then carry on: 2661 / 586

Advancing to step 4:
586 can be fit into 2661 4 times, resulting in a remainder of 317.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 2344 away from 2661, we end up with 317.
Include the next digit (4) from the dividend after 317, then repeat: 3174 / 586

Moving on to step 5:
The number 586 fits into 3174 5 times, leaving a remainder of 244.
Write down 5 as next digit of the result. 
Result so far: 45.0
The remainder is 244 after subtracting 2930 from 3174.
Fetch the next digit (7) from the dividend, attach it to 244 and continue: 2447 / 586

Step 6:
When dividing 2447 by 586, we get 4 with a remainder of 103.
The next digit of our result is 4. 
Result so far: 454.0
If we take 2344 away from 2447, we end up with 103.
Fetch the next digit (7) from the dividend, attach it to 103 and continue: 1037 / 586

Moving on to step 7:
If we divide 1037 by 586, we get 1 and a remainder of 451.
Use 1 as the next digit of our solution. 
Result so far: 4541.0
If we subtract 586 from 1037, we get 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Let's proceed to step 8:
586 can be fit into 4510 7 times, resulting in a remainder of 408.
Write down 7 as next digit of the result. 
Result so far: 4541.7
If we take 4102 away from 4510, we end up with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Advancing to step 9:
If we divide 4080 by 586, we get 6 and a remainder of 564.
Use 6 as the next digit of our solution. 
Result so far: 4541.76
Deduct 3516 from 4080 and we're left with 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5640, and continue the process.

Advancing to step 10:
When dividing 5640 by 586, we get 9 with a remainder of 366.
Use 9 as the next digit of our solution. 
Result so far: 4541.769
If we subtract 5274 from 5640, we get 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Moving on to step 11:
586 goes into 3660 6 times with a remainder of 144.
Put 6 as the next digit of the answer. 
Result so far: 4541.7696
Subtracting 3516 from 3660 leaves us 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.

Let's proceed to step 12:
586 goes into 1440 2 times with a remainder of 268.
The next digit of our result is 2. 
Result so far: 4541.76962
Subtracting 1172 from 1440 leaves us with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Moving on to step 13:
586 can be fit into 2680 4 times, resulting in a remainder of 336.
Use 4 as the next digit of our solution. 
Result so far: 4541.769624
Subtract 2344 from 2680 to get 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

Step 14:
3360 divided by 586 is 5 with a remainder of 430.
Record the quotient 5 as the next digit in the result. 
Result so far: 4541.7696245
Subtract 2930 from 3360 to get 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4300, and continue the process.

Moving on to step 15:
When dividing 4300 by 586, we get 7 with a remainder of 198.
Write down 7 as next digit of the result. 
Result so far: 4541.76962457
If we subtract 4102 from 4300, we get 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Our division results in 4541.76962457 with a remaining 1.98e-07.