We divide 421583 by 12
We're looking to find how many times 12 goes into 421583.

Moving on to step 1:
When dividing 4 by 12, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 12

Going ahead to step 2:
42 divided by 12 is 3 with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 36 from 42, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 12

Moving on to step 3:
12 goes into 61 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 60 from 61 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 12

On to step 4:
If we divide 15 by 12, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 351.0
If we subtract 12 from 15, we get 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 12

Let's proceed to step 5:
38 divided by 12 is 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 3513.0
The remainder is 2 after subtracting 36 from 38.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 12

Let's proceed to step 6:
If we divide 23 by 12, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 35131.0
If we take 12 away from 23, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
12 goes into 110 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 35131.9
The remainder is 2 after subtracting 108 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
12 goes into 20 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 35131.91
Deduct 12 from 20 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.

Advancing to step 9:
If we divide 80 by 12, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 35131.916
Deduct 72 from 80 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.

Advancing to step 10:
The number 12 fits into 80 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 35131.9166
Subtracting 72 from 80 leaves us 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.

The quotient of the division is 35131.9166, and the remainder is 8e-05.