Math / Numbers & Operations

QuestionDivide: $1,421 \div 29=$

Studdy Solution

STEP 1

1. We are performing a division of two whole numbers: $1421$ and $29$ .
2. The division can be done using long division.
3. The result will be a quotient and possibly a remainder.

STEP 2

1. Set up the long division of $1421$ by $29$ .
2. Perform the division step-by-step, starting with the highest place value.
3. Continue the division until all digits have been processed.
4. Record the quotient and the remainder.

STEP 3

Set up the long division where $1421$ is the dividend and $29$ is the divisor.
$\begin{array}{r|l} 29 & 1421 \\ \end{array}$

STEP 4

Determine how many times $29$ goes into the first part of $1421$ (starting from the left). Since $29$ does not go into $14$ , consider the first two digits $142$ .
$142 \div 29 \approx 4 \quad \text{(since 29 * 4 = 116, and 29 * 5 = 145 which is too large)}$

STEP 5

Place the quotient $4$ above the long division bar. Multiply $4$ by $29$ and subtract the result from $142$ .
$\begin{array}{r|l} 29 & 1421 \\ & -116 \quad \text{(since 4 * 29 = 116)} \\ \hline & 26 \\ \end{array}$

STEP 6

Bring down the next digit (the $1$ in $1421$ ), making the new number $261$ .
$\begin{array}{r|l} 29 & 1421 \\ & -116 \\ \hline & 261 \\ \end{array}$

STEP 7

Determine how many times $29$ goes into $261$ .
$261 \div 29 \approx 9 \quad \text{(since 29 * 9 = 261 exactly)}$

STEP 8

Place the quotient $9$ above the long division bar next to the $4$ . Multiply $9$ by $29$ and subtract the result from $261$ .
$\begin{array}{r|l} 29 & 1421 \\ 49 & -116 \\ & 261 \\ & -261 \\ \hline & 0 \\ \end{array}$
Since $261 - 261 = 0$ , there is no remainder.

STEP 9

Combine the quotients obtained in each step to get the final quotient.
The quotient is $49$ with a remainder of $0$ .

STEP 10

The final answer is:
$1421 \div 29 = 49 \quad \text{with a remainder of} \quad 0$

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