Evaluate
86
Factor
2\times 43
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)12900}\\\end{array}
Use the 1^{st} digit 1 from dividend 12900
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)12900}\\\end{array}
Since 1 is less than 150, use the next digit 2 from dividend 12900 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)12900}\\\end{array}
Use the 2^{nd} digit 2 from dividend 12900
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)12900}\\\end{array}
Since 12 is less than 150, use the next digit 9 from dividend 12900 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)12900}\\\end{array}
Use the 3^{rd} digit 9 from dividend 12900
\begin{array}{l}\phantom{150)}000\phantom{6}\\150\overline{)12900}\\\end{array}
Since 129 is less than 150, use the next digit 0 from dividend 12900 and add 0 to the quotient
\begin{array}{l}\phantom{150)}000\phantom{7}\\150\overline{)12900}\\\end{array}
Use the 4^{th} digit 0 from dividend 12900
\begin{array}{l}\phantom{150)}0008\phantom{8}\\150\overline{)12900}\\\phantom{150)}\underline{\phantom{}1200\phantom{9}}\\\phantom{150)99}90\\\end{array}
Find closest multiple of 150 to 1290. We see that 8 \times 150 = 1200 is the nearest. Now subtract 1200 from 1290 to get reminder 90. Add 8 to quotient.
\begin{array}{l}\phantom{150)}0008\phantom{9}\\150\overline{)12900}\\\phantom{150)}\underline{\phantom{}1200\phantom{9}}\\\phantom{150)99}900\\\end{array}
Use the 5^{th} digit 0 from dividend 12900
\begin{array}{l}\phantom{150)}00086\phantom{10}\\150\overline{)12900}\\\phantom{150)}\underline{\phantom{}1200\phantom{9}}\\\phantom{150)99}900\\\phantom{150)}\underline{\phantom{99}900\phantom{}}\\\phantom{150)99999}0\\\end{array}
Find closest multiple of 150 to 900. We see that 6 \times 150 = 900 is the nearest. Now subtract 900 from 900 to get reminder 0. Add 6 to quotient.
\text{Quotient: }86 \text{Reminder: }0
Since 0 is less than 150, stop the division. The reminder is 0. The topmost line 00086 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 86.
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}