Evaluate
157
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157
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\begin{array}{l}\phantom{12)}\phantom{1}\\12\overline{)1884}\\\end{array}
Use the 1^{st} digit 1 from dividend 1884
\begin{array}{l}\phantom{12)}0\phantom{2}\\12\overline{)1884}\\\end{array}
Since 1 is less than 12, use the next digit 8 from dividend 1884 and add 0 to the quotient
\begin{array}{l}\phantom{12)}0\phantom{3}\\12\overline{)1884}\\\end{array}
Use the 2^{nd} digit 8 from dividend 1884
\begin{array}{l}\phantom{12)}01\phantom{4}\\12\overline{)1884}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}6\\\end{array}
Find closest multiple of 12 to 18. We see that 1 \times 12 = 12 is the nearest. Now subtract 12 from 18 to get reminder 6. Add 1 to quotient.
\begin{array}{l}\phantom{12)}01\phantom{5}\\12\overline{)1884}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}68\\\end{array}
Use the 3^{rd} digit 8 from dividend 1884
\begin{array}{l}\phantom{12)}015\phantom{6}\\12\overline{)1884}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}68\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}8\\\end{array}
Find closest multiple of 12 to 68. We see that 5 \times 12 = 60 is the nearest. Now subtract 60 from 68 to get reminder 8. Add 5 to quotient.
\begin{array}{l}\phantom{12)}015\phantom{7}\\12\overline{)1884}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}68\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}84\\\end{array}
Use the 4^{th} digit 4 from dividend 1884
\begin{array}{l}\phantom{12)}0157\phantom{8}\\12\overline{)1884}\\\phantom{12)}\underline{\phantom{}12\phantom{99}}\\\phantom{12)9}68\\\phantom{12)}\underline{\phantom{9}60\phantom{9}}\\\phantom{12)99}84\\\phantom{12)}\underline{\phantom{99}84\phantom{}}\\\phantom{12)9999}0\\\end{array}
Find closest multiple of 12 to 84. We see that 7 \times 12 = 84 is the nearest. Now subtract 84 from 84 to get reminder 0. Add 7 to quotient.
\text{Quotient: }157 \text{Reminder: }0
Since 0 is less than 12, stop the division. The reminder is 0. The topmost line 0157 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 157.
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}