586214 divided by 46 
We want to divide 586214 by 46.

Let's proceed to step 1:
46 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 46

On to step 2:
58 divided by 46 is 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 46 from 58, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 46

On to step 3:
46 goes into 126 2 times with a remainder of 34.
The next digit of our result is 2. 
Result so far: 12.0
If we take 92 away from 126, we end up with 34.
Include the next digit (2) from the dividend after 34, then repeat: 342 / 46

Let's proceed to step 4:
When dividing 342 by 46, we get 7 with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
Deduct 322 from 342 and we're left with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 46

Moving on to step 5:
46 can be fit into 201 4 times, resulting in a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 1274.0
Subtracting 184 from 201 leaves us with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 46

Let's proceed to step 6:
When dividing 174 by 46, we get 3 with a remainder of 36.
The next digit of our result is 3. 
Result so far: 12743.0
Subtracting 138 from 174 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
If we divide 360 by 46, we get 7 and a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 12743.7
Subtract 322 from 360 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
If we divide 380 by 46, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 12743.78
Deduct 368 from 380 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
If we divide 120 by 46, we get 2 and a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 12743.782
Deduct 92 from 120 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
The number 46 fits into 280 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 12743.7826
Subtract 276 from 280 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
When dividing 40 by 46, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 12743.7826
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
The number 46 fits into 400 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 12743.782608
If we take 368 away from 400, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 13:
46 goes into 320 6 times with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 12743.7826086
Subtracting 276 from 320 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
440 divided by 46 is 9 with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 12743.78260869
If we take 414 away from 440, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Our division results in 12743.78260869 with a remaining 2.6e-08.