The problem is to solve the long division problem $1234 \div 38$.

1. Problem Description

The problem is to solve the long division problem $1234 \div 38$.

2. Solution Steps

We will perform long division.

* How many times does 38 go into 12? It doesn't, so we move to

1

2

3. * How many times does 38 go into 123? We can estimate this by rounding 38 to 40 and 123 to

1

2

0. $120 \div 40 = 3$. So, we try

3. $38 \times 3 = 114$.

* Subtract 114 from 123: $123 - 114 = 9$.

* Bring down the 4 to get

9

4. * How many times does 38 go into 94? We can estimate this by rounding 38 to 40 and 94 to

9

0. $90 \div 40 \approx 2$. So, we try

2. $38 \times 2 = 76$.

* Subtract 76 from 94: $94 - 76 = 18$.

* Thus, we have a quotient of 32 and a remainder of

1

8.

3. Final Answer

$1234 \div 38 = 32$ with a remainder of $18$. Or, $32 \frac{18}{38} = 32 \frac{9}{19}$.