Evaluate
95
Factor
5\times 19
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)9500}\\\end{array}
Use the 1^{st} digit 9 from dividend 9500
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)9500}\\\end{array}
Since 9 is less than 100, use the next digit 5 from dividend 9500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)9500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 9500
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)9500}\\\end{array}
Since 95 is less than 100, use the next digit 0 from dividend 9500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)9500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 9500
\begin{array}{l}\phantom{100)}009\phantom{6}\\100\overline{)9500}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}50\\\end{array}
Find closest multiple of 100 to 950. We see that 9 \times 100 = 900 is the nearest. Now subtract 900 from 950 to get reminder 50. Add 9 to quotient.
\begin{array}{l}\phantom{100)}009\phantom{7}\\100\overline{)9500}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 9500
\begin{array}{l}\phantom{100)}0095\phantom{8}\\100\overline{)9500}\\\phantom{100)}\underline{\phantom{}900\phantom{9}}\\\phantom{100)9}500\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 500. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 5 to quotient.
\text{Quotient: }95 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0095 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 95.
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}