Evaluate
424
Factor
2^{3}\times 53
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\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)16112}\\\end{array}
Use the 1^{st} digit 1 from dividend 16112
\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)16112}\\\end{array}
Since 1 is less than 38, use the next digit 6 from dividend 16112 and add 0 to the quotient
\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)16112}\\\end{array}
Use the 2^{nd} digit 6 from dividend 16112
\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)16112}\\\end{array}
Since 16 is less than 38, use the next digit 1 from dividend 16112 and add 0 to the quotient
\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)16112}\\\end{array}
Use the 3^{rd} digit 1 from dividend 16112
\begin{array}{l}\phantom{38)}004\phantom{6}\\38\overline{)16112}\\\phantom{38)}\underline{\phantom{}152\phantom{99}}\\\phantom{38)99}9\\\end{array}
Find closest multiple of 38 to 161. We see that 4 \times 38 = 152 is the nearest. Now subtract 152 from 161 to get reminder 9. Add 4 to quotient.
\begin{array}{l}\phantom{38)}004\phantom{7}\\38\overline{)16112}\\\phantom{38)}\underline{\phantom{}152\phantom{99}}\\\phantom{38)99}91\\\end{array}
Use the 4^{th} digit 1 from dividend 16112
\begin{array}{l}\phantom{38)}0042\phantom{8}\\38\overline{)16112}\\\phantom{38)}\underline{\phantom{}152\phantom{99}}\\\phantom{38)99}91\\\phantom{38)}\underline{\phantom{99}76\phantom{9}}\\\phantom{38)99}15\\\end{array}
Find closest multiple of 38 to 91. We see that 2 \times 38 = 76 is the nearest. Now subtract 76 from 91 to get reminder 15. Add 2 to quotient.
\begin{array}{l}\phantom{38)}0042\phantom{9}\\38\overline{)16112}\\\phantom{38)}\underline{\phantom{}152\phantom{99}}\\\phantom{38)99}91\\\phantom{38)}\underline{\phantom{99}76\phantom{9}}\\\phantom{38)99}152\\\end{array}
Use the 5^{th} digit 2 from dividend 16112
\begin{array}{l}\phantom{38)}00424\phantom{10}\\38\overline{)16112}\\\phantom{38)}\underline{\phantom{}152\phantom{99}}\\\phantom{38)99}91\\\phantom{38)}\underline{\phantom{99}76\phantom{9}}\\\phantom{38)99}152\\\phantom{38)}\underline{\phantom{99}152\phantom{}}\\\phantom{38)99999}0\\\end{array}
Find closest multiple of 38 to 152. We see that 4 \times 38 = 152 is the nearest. Now subtract 152 from 152 to get reminder 0. Add 4 to quotient.
\text{Quotient: }424 \text{Reminder: }0
Since 0 is less than 38, stop the division. The reminder is 0. The topmost line 00424 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 424.
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}