Evaluate
97
Factor
97
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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)1455}\\\end{array}
Use the 1^{st} digit 1 from dividend 1455
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)1455}\\\end{array}
Since 1 is less than 15, use the next digit 4 from dividend 1455 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)1455}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1455
\begin{array}{l}\phantom{15)}00\phantom{4}\\15\overline{)1455}\\\end{array}
Since 14 is less than 15, use the next digit 5 from dividend 1455 and add 0 to the quotient
\begin{array}{l}\phantom{15)}00\phantom{5}\\15\overline{)1455}\\\end{array}
Use the 3^{rd} digit 5 from dividend 1455
\begin{array}{l}\phantom{15)}009\phantom{6}\\15\overline{)1455}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)9}10\\\end{array}
Find closest multiple of 15 to 145. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 145 to get reminder 10. Add 9 to quotient.
\begin{array}{l}\phantom{15)}009\phantom{7}\\15\overline{)1455}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)9}105\\\end{array}
Use the 4^{th} digit 5 from dividend 1455
\begin{array}{l}\phantom{15)}0097\phantom{8}\\15\overline{)1455}\\\phantom{15)}\underline{\phantom{}135\phantom{9}}\\\phantom{15)9}105\\\phantom{15)}\underline{\phantom{9}105\phantom{}}\\\phantom{15)9999}0\\\end{array}
Find closest multiple of 15 to 105. We see that 7 \times 15 = 105 is the nearest. Now subtract 105 from 105 to get reminder 0. Add 7 to quotient.
\text{Quotient: }97 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.
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}