Evaluate
1751
Factor
17\times 103
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\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)40273}\\\end{array}
Use the 1^{st} digit 4 from dividend 40273
\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)40273}\\\end{array}
Since 4 is less than 23, use the next digit 0 from dividend 40273 and add 0 to the quotient
\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)40273}\\\end{array}
Use the 2^{nd} digit 0 from dividend 40273
\begin{array}{l}\phantom{23)}01\phantom{4}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}17\\\end{array}
Find closest multiple of 23 to 40. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 40 to get reminder 17. Add 1 to quotient.
\begin{array}{l}\phantom{23)}01\phantom{5}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\end{array}
Use the 3^{rd} digit 2 from dividend 40273
\begin{array}{l}\phantom{23)}017\phantom{6}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}11\\\end{array}
Find closest multiple of 23 to 172. We see that 7 \times 23 = 161 is the nearest. Now subtract 161 from 172 to get reminder 11. Add 7 to quotient.
\begin{array}{l}\phantom{23)}017\phantom{7}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}117\\\end{array}
Use the 4^{th} digit 7 from dividend 40273
\begin{array}{l}\phantom{23)}0175\phantom{8}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}117\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}2\\\end{array}
Find closest multiple of 23 to 117. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 117 to get reminder 2. Add 5 to quotient.
\begin{array}{l}\phantom{23)}0175\phantom{9}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}117\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}23\\\end{array}
Use the 5^{th} digit 3 from dividend 40273
\begin{array}{l}\phantom{23)}01751\phantom{10}\\23\overline{)40273}\\\phantom{23)}\underline{\phantom{}23\phantom{999}}\\\phantom{23)}172\\\phantom{23)}\underline{\phantom{}161\phantom{99}}\\\phantom{23)9}117\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}23\\\phantom{23)}\underline{\phantom{999}23\phantom{}}\\\phantom{23)99999}0\\\end{array}
Find closest multiple of 23 to 23. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 23 to get reminder 0. Add 1 to quotient.
\text{Quotient: }1751 \text{Reminder: }0
Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 01751 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1751.
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}