Math worksheet for practicing short division with decimals as remainders, including an example and multiple problems.

Problem Overview:

The task involves performing short division on a series of numbers, where the results may include decimal remainders. The instructions specify that answers should be written up to 2 decimal places.

Example Provided:

The example shows how to perform short division with decimals as remainders:
- Divide \( 487 \) by \( 4 \).
- The result is \( 121.75 \).

Steps for Short Division with Decimals:

1. Perform the division as usual until you reach a remainder.
2. Add a decimal point to the dividend and continue dividing by adding zeros as needed.
3. Round the result to 2 decimal places if necessary.

Solution for Each Problem:

We will solve each division problem step by step.

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#### 1. \( 6 \div 5837 \)
- Perform the division: \( 5837 \div 6 \).
- Step-by-step:
- \( 6 \) goes into \( 58 \) nine times (\( 9 \times 6 = 54 \)).
- Subtract: \( 58 - 54 = 4 \).
- Bring down \( 3 \): \( 43 \).
- \( 6 \) goes into \( 43 \) seven times (\( 7 \times 6 = 42 \)).
- Subtract: \( 43 - 42 = 1 \).
- Bring down \( 7 \): \( 17 \).
- \( 6 \) goes into \( 17 \) two times (\( 2 \times 6 = 12 \)).
- Subtract: \( 17 - 12 = 5 \).
- Add a decimal point and bring down a zero: \( 50 \).
- \( 6 \) goes into \( 50 \) eight times (\( 8 \times 6 = 48 \)).
- Subtract: \( 50 - 48 = 2 \).
- Bring down another zero: \( 20 \).
- \( 6 \) goes into \( 20 \) three times (\( 3 \times 6 = 18 \)).
- Subtract: \( 20 - 18 = 2 \).

Thus, \( 5837 \div 6 = 972.83 \) (rounded to 2 decimal places).

#### 2. \( 4 \div 3842 \)
- Perform the division: \( 3842 \div 4 \).
- Step-by-step:
- \( 4 \) goes into \( 38 \) nine times (\( 9 \times 4 = 36 \)).
- Subtract: \( 38 - 36 = 2 \).
- Bring down \( 4 \): \( 24 \).
- \( 4 \) goes into \( 24 \) six times (\( 6 \times 4 = 24 \)).
- Subtract: \( 24 - 24 = 0 \).
- Bring down \( 2 \): \( 2 \).
- Add a decimal point and bring down a zero: \( 20 \).
- \( 4 \) goes into \( 20 \) five times (\( 5 \times 4 = 20 \)).
- Subtract: \( 20 - 20 = 0 \).

Thus, \( 3842 \div 4 = 960.50 \).

#### 3. \( 5 \div 4618 \)
- Perform the division: \( 4618 \div 5 \).
- Step-by-step:
- \( 5 \) goes into \( 46 \) nine times (\( 9 \times 5 = 45 \)).
- Subtract: \( 46 - 45 = 1 \).
- Bring down \( 1 \): \( 11 \).
- \( 5 \) goes into \( 11 \) two times (\( 2 \times 5 = 10 \)).
- Subtract: \( 11 - 10 = 1 \).
- Bring down \( 8 \): \( 18 \).
- \( 5 \) goes into \( 18 \) three times (\( 3 \times 5 = 15 \)).
- Subtract: \( 18 - 15 = 3 \).
- Add a decimal point and bring down a zero: \( 30 \).
- \( 5 \) goes into \( 30 \) six times (\( 6 \times 5 = 30 \)).
- Subtract: \( 30 - 30 = 0 \).

Thus, \( 4618 \div 5 = 923.60 \).

#### 4. \( 3 \div 2848 \)
- Perform the division: \( 2848 \div 3 \).
- Step-by-step:
- \( 3 \) goes into \( 28 \) nine times (\( 9 \times 3 = 27 \)).
- Subtract: \( 28 - 27 = 1 \).
- Bring down \( 4 \): \( 14 \).
- \( 3 \) goes into \( 14 \) four times (\( 4 \times 3 = 12 \)).
- Subtract: \( 14 - 12 = 2 \).
- Bring down \( 8 \): \( 28 \).
- \( 3 \) goes into \( 28 \) nine times (\( 9 \times 3 = 27 \)).
- Subtract: \( 28 - 27 = 1 \).
- Add a decimal point and bring down a zero: \( 10 \).
- \( 3 \) goes into \( 10 \) three times (\( 3 \times 3 = 9 \)).
- Subtract: \( 10 - 9 = 1 \).
- Bring down another zero: \( 10 \).
- \( 3 \) goes into \( 10 \) three times (\( 3 \times 3 = 9 \)).
- Subtract: \( 10 - 9 = 1 \).

Thus, \( 2848 \div 3 = 949.33 \).

#### 5. \( 5 \div 3707 \)
- Perform the division: \( 3707 \div 5 \).
- Step-by-step:
- \( 5 \) goes into \( 37 \) seven times (\( 7 \times 5 = 35 \)).
- Subtract: \( 37 - 35 = 2 \).
- Bring down \( 0 \): \( 20 \).
- \( 5 \) goes into \( 20 \) four times (\( 4 \times 5 = 20 \)).
- Subtract: \( 20 - 20 = 0 \).
- Bring down \( 7 \): \( 7 \).
- Add a decimal point and bring down a zero: \( 70 \).
- \( 5 \) goes into \( 70 \) fourteen times (\( 14 \times 5 = 70 \)).
- Subtract: \( 70 - 70 = 0 \).

Thus, \( 3707 \div 5 = 741.40 \).

#### 6. \( 2 \div 1149 \)
- Perform the division: \( 1149 \div 2 \).
- Step-by-step:
- \( 2 \) goes into \( 11 \) five times (\( 5 \times 2 = 10 \)).
- Subtract: \( 11 - 10 = 1 \).
- Bring down \( 4 \): \( 14 \).
- \( 2 \) goes into \( 14 \) seven times (\( 7 \times 2 = 14 \)).
- Subtract: \( 14 - 14 = 0 \).
- Bring down \( 9 \): \( 9 \).
- Add a decimal point and bring down a zero: \( 90 \).
- \( 2 \) goes into \( 90 \) forty-five times (\( 45 \times 2 = 90 \)).
- Subtract: \( 90 - 90 = 0 \).

Thus, \( 1149 \div 2 = 574.50 \).

#### 7. \( 6 \div 4618 \)
- Perform the division: \( 4618 \div 6 \).
- Step-by-step:
- \( 6 \) goes into \( 46 \) seven times (\( 7 \times 6 = 42 \)).
- Subtract: \( 46 - 42 = 4 \).
- Bring down \( 1 \): \( 41 \).
- \( 6 \) goes into \( 41 \) six times (\( 6 \times 6 = 36 \)).
- Subtract: \( 41 - 36 = 5 \).
- Bring down \( 8 \): \( 58 \).
- \( 6 \) goes into \( 58 \) nine times (\( 9 \times 6 = 54 \)).
- Subtract: \( 58 - 54 = 4 \).
- Add a decimal point and bring down a zero: \( 40 \).
- \( 6 \) goes into \( 40 \) six times (\( 6 \times 6 = 36 \)).
- Subtract: \( 40 - 36 = 4 \).

Thus, \( 4618 \div 6 = 769.67 \).

#### 8. \( 2 \div 601 \)
- Perform the division: \( 601 \div 2 \).
- Step-by-step:
- \( 2 \) goes into \( 6 \) three times (\( 3 \times 2 = 6 \)).
- Subtract: \( 6 - 6 = 0 \).
- Bring down \( 0 \): \( 0 \).
- Bring down \( 1 \): \( 1 \).
- Add a decimal point and bring down a zero: \( 10 \).
- \( 2 \) goes into \( 10 \) five times (\( 5 \times 2 = 10 \)).
- Subtract: \( 10 - 10 = 0 \).

Thus, \( 601 \div 2 = 300.50 \).

#### 9. \( 2 \div 1711 \)
- Perform the division: \( 1711 \div 2 \).
- Step-by-step:
- \( 2 \) goes into \( 17 \) eight times (\( 8 \times 2 = 16 \)).
- Subtract: \( 17 - 16 = 1 \).
- Bring down \( 1 \): \( 11 \).
- \( 2 \) goes into \( 11 \) five times (\( 5 \times 2 = 10 \)).
- Subtract: \( 11 - 10 = 1 \).
- Add a decimal point and bring down a zero: \( 10 \).
- \( 2 \) goes into \( 10 \) five times (\( 5 \times 2 = 10 \)).
- Subtract: \( 10 - 10 = 0 \).

Thus, \( 1711 \div 2 = 855.50 \).

#### 10. \( 4 \div 2353 \)
- Perform the division: \( 2353 \div 4 \).
- Step-by-step:
- \( 4 \) goes into \( 23 \) five times (\( 5 \times 4 = 20 \)).
- Subtract: \( 23 - 20 = 3 \).
- Bring down \( 5 \): \( 35 \).
- \( 4 \) goes into \( 35 \) eight times (\( 8 \times 4 = 32 \)).
- Subtract: \( 35 - 32 = 3 \).
- Bring down \( 3 \): \( 33 \).
- \( 4 \) goes into \( 33 \) eight times (\( 8 \times 4 = 32 \)).
- Subtract: \( 33 - 32 = 1 \).
- Add a decimal point and bring down a zero: \( 10 \).
- \( 4 \) goes into \( 10 \) two times (\( 2 \times 4 = 8 \)).
- Subtract: \( 10 - 8 = 2 \).

Thus, \( 2353 \div 4 = 588.25 \).

#### 11. \( 4 \div 3242 \)
- Perform the division: \( 3242 \div 4 \).
- Step-by-step:
- \( 4 \) goes into \( 32 \) eight times (\( 8 \times 4 = 32 \)).
- Subtract: \( 32 - 32 = 0 \).
- Bring down \( 4 \): \( 4 \).
- \( 4 \) goes into \( 4 \) one time (\( 1 \times 4 = 4 \)).
- Subtract: \( 4 - 4 = 0 \).
- Bring down \( 2 \): \( 2 \).
- Add a decimal point and bring down a zero: \( 20 \).
- \( 4 \) goes into \( 20 \) five times (\( 5 \times 4 = 20 \)).
- Subtract: \( 20 - 20 = 0 \).

Thus, \( 3242 \div 4 = 810.50 \).

#### 12. \( 4 \div 3419 \)
- Perform the division: \( 3419 \div 4 \).
- Step-by-step:
- \( 4 \) goes into \( 34 \) eight times (\( 8 \times 4 = 32 \)).
- Subtract: \( 34 - 32 = 2 \).
- Bring down \( 1 \): \( 21 \).
- \( 4 \) goes into \( 21 \) five times (\( 5 \times 4 = 20 \)).
- Subtract: \( 21 - 20 = 1 \).
- Bring down \( 9 \): \( 19 \).
- \( 4 \) goes into \( 19 \) four times (\( 4 \times 4 = 16 \)).
- Subtract: \( 19 - 16 = 3 \).
- Add a decimal point and bring down a zero: \( 30 \).
- \( 4 \) goes into \( 30 \) seven times (\( 7 \times 4 = 28 \)).
- Subtract: \( 30 - 28 = 2 \).

Thus, \( 3419 \div 4 = 854.75 \).

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Final Answers:

\[
\boxed{
\begin{aligned}
&5837 \div 6 = 972.83 \\
&3842 \div 4 = 960.50 \\
&4618 \div 5 = 923.60 \\
&2848 \div 3 = 949.33 \\
&3707 \div 5 = 741.40 \\
&1149 \div 2 = 574.50 \\
&4618 \div 6 = 769.67 \\
&601 \div 2 = 300.50 \\
&1711 \div 2 = 855.50 \\
&2353 \div 4 = 588.25 \\
&3242 \div 4 = 810.50 \\
&3419 \div 4 = 854.75
\end{aligned}
}
\]