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Solve the following division problems: 1) 456842 by 12, 2) 746946 by 12, 3) 75469 by 16, 4) 946946 by 14.

Mathematics

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Here are the solutions to the division problems:

: Divide 456842 by 12.

3807012)456842‾−36↓96−96↓08−00↓84−84↓02−002\begin{array}{r} 38070 \\ 12 \overline{) 456842} \\ -36 \downarrow \\ \hline 96 \\ -96 \downarrow \\ \hline 08 \\ -00 \downarrow \\ \hline 84 \\ -84 \downarrow \\ \hline 02 \\ -00 \\ \hline 2 \end{array}

The quotient is 38070 and the remainder is 2.
So, 456842÷12=38070 R 2456842 \div 12 = \boxed{38070 \text{ R } 2}.

: Divide 746946 by 12.

6224512)746946‾−72↓26−24↓29−24↓54−48↓66−606\begin{array}{r} 62245 \\ 12 \overline{) 746946} \\ -72 \downarrow \\ \hline 26 \\ -24 \downarrow \\ \hline 29 \\ -24 \downarrow \\ \hline 54 \\ -48 \downarrow \\ \hline 66 \\ -60 \\ \hline 6 \end{array}

The quotient is 62245 and the remainder is 6.
So, 746946÷12=62245 R 6746946 \div 12 = \boxed{62245 \text{ R } 6}.

: Divide 75469 by 16.

471616)75469‾−64↓114−112↓26−16↓109−9613\begin{array}{r} 4716 \\ 16 \overline{) 75469} \\ -64 \downarrow \\ \hline 114 \\ -112 \downarrow \\ \hline 26 \\ -16 \downarrow \\ \hline 109 \\ -96 \\ \hline 13 \end{array}

The quotient is 4716 and the remainder is 13.
So, 75469÷16=4716 R 1375469 \div 16 = \boxed{4716 \text{ R } 13}.

: Divide 946946 by 14.

6763914)946946‾−84↓106−98↓89−84↓54−42↓126−1260\begin{array}{r} 67639 \\ 14 \overline{) 946946} \\ -84 \downarrow \\ \hline 106 \\ -98 \downarrow \\ \hline 89 \\ -84 \downarrow \\ \hline 54 \\ -42 \downarrow \\ \hline 126 \\ -126 \\ \hline 0 \end{array}

The quotient is 67639 and the remainder is 0.
So, 946946÷14=67639946946 \div 14 = \boxed{67639}.

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