Let's divide 586473 by 41
We're looking to find how many times 41 goes into 586473.

Going ahead to step 1:
41 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 41

Moving on to step 2:
When dividing 58 by 41, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 58 leaves us with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 41

Step 3:
The number 41 fits into 176 4 times, leaving a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 164 away from 176, we end up with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 41

On to step 4:
The number 41 fits into 124 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
If we subtract 123 from 124, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 41

Moving on to step 5:
The number 41 fits into 17 0 times, leaving a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 1430.0
Deduct 0 from 17 and we're left with 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 41

On to step 6:
41 goes into 173 4 times with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 14304.0
Subtract 164 from 173 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
41 goes into 90 2 times with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 14304.2
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
80 divided by 41 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 14304.21
If we subtract 41 from 80, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 9:
The number 41 fits into 390 9 times, leaving a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 14304.219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
When dividing 210 by 41, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 14304.2195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
If we divide 50 by 41, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 14304.21951
Deduct 41 from 50 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
When dividing 90 by 41, we get 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 14304.219512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 14304.2195121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 14:
When dividing 390 by 41, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 14304.21951219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 14304.21951219 and a remainder of 2.1e-08.