Divide a 3-digit number by a 1-digit number

This understanding treats division of a three-digit whole number by a one-digit whole number as equal grouping or sharing, connecting the dividend, divisor, quotient, and remainder through multiplication and place value. It includes decomposing the dividend into hundreds, tens, and ones, using partial quotients or the standard algorithm, and interpreting exact quotients and remainders, with the remainder always less than the divisor. The scope excludes decimal results and division by multi-digit divisors, while supporting later work with fractions, proportional reasoning, and algebraic relationships.

Detailed Explanation: Divide a 3-digit number by a 1-digit number

Division means sharing a number into equal groups. In $746 \div 3$ , we are sharing $746$ into $3$ equal groups.

Use place value: $746$ has $7$ hundreds, $4$ tens, and $6$ ones.

\require{enclose} \begin{array}{r} \phantom{0}248\ \text{R}2\\ 3\enclose{longdiv}{746} \end{array}

Step by step:

Divide the hundreds.
$7$ hundreds divided by $3$ gives $2$ hundreds, with $1$ hundred left over.
Regroup the leftover hundred.
Trade the $1$ leftover hundred for $10$ tens. Now there are $10+4=14$ tens.
Divide the tens.
$14$ tens divided by $3$ gives $4$ tens, with $2$ tens left over.
Regroup the leftover tens.
Trade the $2$ leftover tens for $20$ ones. Now there are $20+6=26$ ones.
Divide the ones.
$26$ ones divided by $3$ gives $8$ ones, with $2$ ones left over.

So,

746 \div 3 = 248\text{ R}2

Check the answer using multiplication:

3 \times 248 + 2 = 744+2=746

The remainder is $2$ , and it is less than the divisor $3$ , so the answer is correct.

Learn by doing: Divide a 3-digit number by a 1-digit number

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Division Equation - No Remainder 3 x 1

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Divide a 3-digit number by a 1-digit number

Detailed Explanation: Divide a 3-digit number by a 1-digit number

Learn by doing: Divide a 3-digit number by a 1-digit number

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Division Equation - No Remainder 3 x 1