291829 ÷ 42 
We want to divide 291829 by 42.

Advancing to step 1:
2 divided by 42 is 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 42

Going ahead to step 2:
When dividing 29 by 42, we get 0 with a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 29, we get 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 42

Advancing to step 3:
The number 42 fits into 291 6 times, leaving a remainder of 39.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 252 from 291 leaves us with 39.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 42

Let's proceed to step 4:
398 divided by 42 is 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 69.0
Subtracting 378 from 398 leaves us with 20.
Take the next digit (2) from the dividend and append it to 20, then repeat: 202 / 42

Going ahead to step 5:
42 can be fit into 202 4 times, resulting in a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 694.0
Subtract 168 from 202 to get 34.
Append the next digit (9) from the dividend to 34 and continue with: 349 / 42

Let's proceed to step 6:
When dividing 349 by 42, we get 8 with a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 6948.0
If we take 336 away from 349, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
When dividing 130 by 42, we get 3 with a remainder of 4.
The number 3 becomes the next digit in our result. 
Result so far: 6948.3
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
40 divided by 42 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 6948.3
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
When dividing 400 by 42, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 6948.309
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 10:
When dividing 220 by 42, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6948.3095
Subtracting 210 from 220 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
100 divided by 42 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 6948.30952
If we subtract 84 from 100, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 6948.309523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
When dividing 340 by 42, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 6948.3095238
If we subtract 336 from 340, we 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.

Going ahead to step 14:
When dividing 40 by 42, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 6948.3095238
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.

In conclusion, the division gives 6948.3095238 with a balance of 4e-08.