Solve \frac { 836241 } { 21 } | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$\frac { 836241 } { 21 }$$

Evaluate

$39821$

Steps For Long Division Method

Use the $1^{st}$ digit $8$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)836241}\\\end{array}$$

Since $8$ is less than $21$, use the next digit $3$ from dividend $836241$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)836241}\\\end{array}$$

Use the $2^{nd}$ digit $3$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)836241}\\\end{array}$$

Find closest multiple of $21$ to $83$. We see that $3 \times 21 = 63$ is the nearest. Now subtract $63$ from $83$ to get reminder $20$. Add $3$ to quotient.

$$\begin{array}{l}\phantom{21)}03\phantom{4}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}20\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}03\phantom{5}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\end{array}$$

Find closest multiple of $21$ to $206$. We see that $9 \times 21 = 189$ is the nearest. Now subtract $189$ from $206$ to get reminder $17$. Add $9$ to quotient.

$$\begin{array}{l}\phantom{21)}039\phantom{6}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}17\\\end{array}$$

Use the $4^{th}$ digit $2$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}039\phantom{7}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\end{array}$$

Find closest multiple of $21$ to $172$. We see that $8 \times 21 = 168$ is the nearest. Now subtract $168$ from $172$ to get reminder $4$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{21)}0398\phantom{8}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\phantom{21)}\underline{\phantom{9}168\phantom{99}}\\\phantom{21)999}4\\\end{array}$$

Use the $5^{th}$ digit $4$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}0398\phantom{9}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\phantom{21)}\underline{\phantom{9}168\phantom{99}}\\\phantom{21)999}44\\\end{array}$$

Find closest multiple of $21$ to $44$. We see that $2 \times 21 = 42$ is the nearest. Now subtract $42$ from $44$ to get reminder $2$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{21)}03982\phantom{10}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\phantom{21)}\underline{\phantom{9}168\phantom{99}}\\\phantom{21)999}44\\\phantom{21)}\underline{\phantom{999}42\phantom{9}}\\\phantom{21)9999}2\\\end{array}$$

Use the $6^{th}$ digit $1$ from dividend $836241$

$$\begin{array}{l}\phantom{21)}03982\phantom{11}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\phantom{21)}\underline{\phantom{9}168\phantom{99}}\\\phantom{21)999}44\\\phantom{21)}\underline{\phantom{999}42\phantom{9}}\\\phantom{21)9999}21\\\end{array}$$

Find closest multiple of $21$ to $21$. We see that $1 \times 21 = 21$ is the nearest. Now subtract $21$ from $21$ to get reminder $0$. Add $1$ to quotient.

$$\begin{array}{l}\phantom{21)}039821\phantom{12}\\21\overline{)836241}\\\phantom{21)}\underline{\phantom{}63\phantom{9999}}\\\phantom{21)}206\\\phantom{21)}\underline{\phantom{}189\phantom{999}}\\\phantom{21)9}172\\\phantom{21)}\underline{\phantom{9}168\phantom{99}}\\\phantom{21)999}44\\\phantom{21)}\underline{\phantom{999}42\phantom{9}}\\\phantom{21)9999}21\\\phantom{21)}\underline{\phantom{9999}21\phantom{}}\\\phantom{21)999999}0\\\end{array}$$

Since $0$ is less than $21$, stop the division. The reminder is $0$. The topmost line $039821$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $39821$.

$$\text{Quotient: }39821$$ $$\text{Reminder: }0$$

Factor

$39821$