589108 ÷ 46 
Our goal is to divide 589108 by 46.

Let's proceed to step 1:
The number 46 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 46

On to step 2:
46 can be fit into 58 1 times, resulting in a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 46 from 58 and we're left with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 46

Let's proceed to step 3:
If we divide 129 by 46, we get 2 and a remainder of 37.
The next digit of our result is 2. 
Result so far: 12.0
If we take 92 away from 129, we end up with 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 46

Going ahead to step 4:
371 divided by 46 is 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Subtract 368 from 371 to get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 46

Advancing to step 5:
46 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 1280.0
If we take 0 away from 30, we end up with 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 46

Let's proceed to step 6:
46 can be fit into 308 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 12806.0
Deduct 276 from 308 and we're left 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.

Step 7:
When dividing 320 by 46, we get 6 with a remainder of 44.
The next digit of our result is 6. 
Result so far: 12806.6
Deduct 276 from 320 and we're left 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.

Step 8:
The number 46 fits into 440 9 times, leaving a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 12806.69
Deduct 414 from 440 and we're left 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.

On to step 9:
If we divide 260 by 46, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 12806.695
Subtracting 230 from 260 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
46 goes into 300 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 12806.6956
If we take 276 away from 300, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
46 can be fit into 240 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 12806.69565
If we subtract 230 from 240, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 46 fits into 100 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 12806.695652
Subtracting 92 from 100 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.

On to step 13:
80 divided by 46 is 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 12806.6956521
Subtract 46 from 80 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
46 can be fit into 340 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 12806.69565217
Subtracting 322 from 340 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 12806.69565217 and a remainder of 1.8e-08.