1877382 ÷ 586 
Our goal is to divide 1877382 by 586.

Going ahead to step 1:
586 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 586

Step 2:
When dividing 18 by 586, we get 0 with a remainder of 18.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 586

Moving on to step 3:
187 divided by 586 is 0 with a remainder of 187.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 187, we end up with 187.
Grab the next digit (7) from the dividend, add it to 187, then carry on: 1877 / 586

On to step 4:
586 can be fit into 1877 3 times, resulting in a remainder of 119.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 1758 from 1877 leaves us with 119.
Append the next digit (3) from the dividend to 119 and continue with: 1193 / 586

Step 5:
The number 586 fits into 1193 2 times, leaving a remainder of 21.
The next digit of our result is 2. 
Result so far: 32.0
Subtract 1172 from 1193 to get 21.
Append the next digit (8) from the dividend to 21 and continue with: 218 / 586

On to step 6:
If we divide 218 by 586, we get 0 and a remainder of 218.
The next digit of our result is 0. 
Result so far: 320.0
Subtracting 0 from 218 leaves us with 218.
Take the next digit (2) from the dividend and append it to 218, then repeat: 2182 / 586

On to step 7:
586 goes into 2182 3 times with a remainder of 424.
The next digit of our result is 3. 
Result so far: 3203.0
Subtracting 1758 from 2182 leaves us with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

On to step 8:
4240 divided by 586 is 7 with a remainder of 138.
The next digit of our result is 7. 
Result so far: 3203.7
Subtract 4102 from 4240 to get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Moving on to step 9:
586 goes into 1380 2 times with a remainder of 208.
The next digit of our result is 2. 
Result so far: 3203.72
The remainder is 208 after subtracting 1172 from 1380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

Step 10:
If we divide 2080 by 586, we get 3 and a remainder of 322.
Record the quotient 3 as the next digit in the result. 
Result so far: 3203.723
The remainder is 322 after subtracting 1758 from 2080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

Let's proceed to step 11:
If we divide 3220 by 586, we get 5 and a remainder of 290.
Record the quotient 5 as the next digit in the result. 
Result so far: 3203.7235
If we take 2930 away from 3220, we end up with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

On to step 12:
586 goes into 2900 4 times with a remainder of 556.
Write down 4 as next digit of the result. 
Result so far: 3203.72354
Subtract 2344 from 2900 to get 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Moving on to step 13:
5560 divided by 586 is 9 with a remainder of 286.
The number 9 becomes the next digit in our result. 
Result so far: 3203.723549
The remainder is 286 after subtracting 5274 from 5560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

Advancing to step 14:
586 goes into 2860 4 times with a remainder of 516.
Record the quotient 4 as the next digit in the result. 
Result so far: 3203.7235494
If we subtract 2344 from 2860, we get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Going ahead to step 15:
If we divide 5160 by 586, we get 8 and a remainder of 472.
Put 8 as the next digit of the answer. 
Result so far: 3203.72354948
Subtracting 4688 from 5160 leaves us with 472.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4720, and continue the process.

The final outcome is 3203.72354948, with a leftover of 4.72e-07.