Evaluate
7317
Factor
3^{3}\times 271
Share
Copied to clipboard
\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)168291}\\\end{array}
Use the 1^{st} digit 1 from dividend 168291
\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)168291}\\\end{array}
Since 1 is less than 23, use the next digit 6 from dividend 168291 and add 0 to the quotient
\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)168291}\\\end{array}
Use the 2^{nd} digit 6 from dividend 168291
\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)168291}\\\end{array}
Since 16 is less than 23, use the next digit 8 from dividend 168291 and add 0 to the quotient
\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)168291}\\\end{array}
Use the 3^{rd} digit 8 from dividend 168291
\begin{array}{l}\phantom{23)}007\phantom{6}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}7\\\end{array}
Find closest multiple of 23 to 168. We see that 7 \times 23 = 161 is the nearest. Now subtract 161 from 168 to get reminder 7. Add 7 to quotient.
\begin{array}{l}\phantom{23)}007\phantom{7}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\end{array}
Use the 4^{th} digit 2 from dividend 168291
\begin{array}{l}\phantom{23)}0073\phantom{8}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\phantom{23)}\underline{\phantom{99}69\phantom{99}}\\\phantom{23)999}3\\\end{array}
Find closest multiple of 23 to 72. We see that 3 \times 23 = 69 is the nearest. Now subtract 69 from 72 to get reminder 3. Add 3 to quotient.
\begin{array}{l}\phantom{23)}0073\phantom{9}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\phantom{23)}\underline{\phantom{99}69\phantom{99}}\\\phantom{23)999}39\\\end{array}
Use the 5^{th} digit 9 from dividend 168291
\begin{array}{l}\phantom{23)}00731\phantom{10}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\phantom{23)}\underline{\phantom{99}69\phantom{99}}\\\phantom{23)999}39\\\phantom{23)}\underline{\phantom{999}23\phantom{9}}\\\phantom{23)999}16\\\end{array}
Find closest multiple of 23 to 39. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 39 to get reminder 16. Add 1 to quotient.
\begin{array}{l}\phantom{23)}00731\phantom{11}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\phantom{23)}\underline{\phantom{99}69\phantom{99}}\\\phantom{23)999}39\\\phantom{23)}\underline{\phantom{999}23\phantom{9}}\\\phantom{23)999}161\\\end{array}
Use the 6^{th} digit 1 from dividend 168291
\begin{array}{l}\phantom{23)}007317\phantom{12}\\23\overline{)168291}\\\phantom{23)}\underline{\phantom{}161\phantom{999}}\\\phantom{23)99}72\\\phantom{23)}\underline{\phantom{99}69\phantom{99}}\\\phantom{23)999}39\\\phantom{23)}\underline{\phantom{999}23\phantom{9}}\\\phantom{23)999}161\\\phantom{23)}\underline{\phantom{999}161\phantom{}}\\\phantom{23)999999}0\\\end{array}
Find closest multiple of 23 to 161. We see that 7 \times 23 = 161 is the nearest. Now subtract 161 from 161 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7317 \text{Reminder: }0
Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 007317 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7317.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}