Evaluate
162
Factor
2\times 3^{4}
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1944}\\\end{array}
Use the 1^{st} digit 1 from dividend 1944
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1944}\\\end{array}
Since 1 is less than 12, use the next digit 9 from dividend 1944 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1944}\\\end{array}
Use the 2^{nd} digit 9 from dividend 1944
\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1944}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}7\\\end{array}
Find closest multiple of 12 to 19. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 19 to get reminder 7. Add 1 to quotient.
\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1944}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}74\\\end{array}
Use the 3^{rd} digit 4 from dividend 1944
\begin{array}{l}\phantom{12)}016\phantom{6}\\12\overline{)1944}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}74\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}2\\\end{array}
Find closest multiple of 12 to 74. We see that 6 \times 12 = 72 is the nearest. Now subtract 72 from 74 to get reminder 2. Add 6 to quotient.
\begin{array}{l}\phantom{12)}016\phantom{7}\\12\overline{)1944}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}74\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}24\\\end{array}
Use the 4^{th} digit 4 from dividend 1944
\begin{array}{l}\phantom{12)}0162\phantom{8}\\12\overline{)1944}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}74\\\phantom{12)}\underline{\phantom{9}72\phantom{9}}\\\phantom{12)99}24\\\phantom{12)}\underline{\phantom{99}24\phantom{}}\\\phantom{12)9999}0\\\end{array}
Find closest multiple of 12 to 24. We see that 2 \times 12 = 24 is the nearest. Now subtract 24 from 24 to get reminder 0. Add 2 to quotient.
\text{Quotient: }162 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0162 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 162.
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}