586629 ÷ 42 
We want to divide 586629 by 42.

Moving on to step 1:
5 divided by 42 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
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 / 42

Advancing to step 2:
When dividing 58 by 42, we get 1 with a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 42 away from 58, we end up with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 42

Let's proceed to step 3:
42 can be fit into 166 3 times, resulting in a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 126 away from 166, we end up with 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 42

Advancing to step 4:
When dividing 406 by 42, we get 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 139.0
Deduct 378 from 406 and we're left with 28.
Include the next digit (2) from the dividend after 28, then repeat: 282 / 42

Step 5:
42 can be fit into 282 6 times, resulting in a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 1396.0
Subtracting 252 from 282 leaves us with 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 42

Let's proceed to step 6:
42 can be fit into 309 7 times, resulting in a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 13967.0
Deduct 294 from 309 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
The number 42 fits into 150 3 times, leaving a remainder of 24.
The next digit of our result is 3. 
Result so far: 13967.3
Subtracting 126 from 150 leaves us 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.

Advancing to step 8:
42 can be fit into 240 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 13967.35
If we take 210 away from 240, we end up 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.

On to step 9:
42 goes into 300 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 13967.357
Subtract 294 from 300 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 13967.3571
Deduct 42 from 60 and we're left 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.

Moving on to step 11:
42 goes into 180 4 times with a remainder of 12.
The next digit of our result is 4. 
Result so far: 13967.35714
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
120 divided by 42 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 13967.357142
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 13967.3571428
If we subtract 336 from 360, we get 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 14:
42 goes into 240 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 13967.35714285
Deduct 210 from 240 and we're left 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.

Our division results in 13967.35714285 with a remaining 3e-08.