Evaluate
26
Factor
2\times 13
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\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)3900}\\\end{array}
Use the 1^{st} digit 3 from dividend 3900
\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)3900}\\\end{array}
Since 3 is less than 150, use the next digit 9 from dividend 3900 and add 0 to the quotient
\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)3900}\\\end{array}
Use the 2^{nd} digit 9 from dividend 3900
\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)3900}\\\end{array}
Since 39 is less than 150, use the next digit 0 from dividend 3900 and add 0 to the quotient
\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)3900}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3900
\begin{array}{l}\phantom{150)}002\phantom{6}\\150\overline{)3900}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}90\\\end{array}
Find closest multiple of 150 to 390. We see that 2 \times 150 = 300 is the nearest. Now subtract 300 from 390 to get reminder 90. Add 2 to quotient.
\begin{array}{l}\phantom{150)}002\phantom{7}\\150\overline{)3900}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}900\\\end{array}
Use the 4^{th} digit 0 from dividend 3900
\begin{array}{l}\phantom{150)}0026\phantom{8}\\150\overline{)3900}\\\phantom{150)}\underline{\phantom{}300\phantom{9}}\\\phantom{150)9}900\\\phantom{150)}\underline{\phantom{9}900\phantom{}}\\\phantom{150)9999}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: }26 \text{Reminder: }0
Since 0 is less than 150, stop the division. The reminder is 0. The topmost line 0026 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 26.
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}