Evaluate
38
Factor
2\times 19
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)3800}\\\end{array}
Use the 1^{st} digit 3 from dividend 3800
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)3800}\\\end{array}
Since 3 is less than 100, use the next digit 8 from dividend 3800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)3800}\\\end{array}
Use the 2^{nd} digit 8 from dividend 3800
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)3800}\\\end{array}
Since 38 is less than 100, use the next digit 0 from dividend 3800 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)3800}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3800
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)3800}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}80\\\end{array}
Find closest multiple of 100 to 380. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 380 to get reminder 80. Add 3 to quotient.
\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)3800}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}800\\\end{array}
Use the 4^{th} digit 0 from dividend 3800
\begin{array}{l}\phantom{100)}0038\phantom{8}\\100\overline{)3800}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}800\\\phantom{100)}\underline{\phantom{9}800\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 800. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 800 to get reminder 0. Add 8 to quotient.
\text{Quotient: }38 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.
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}