Evaluate
138
Factor
2\times 3\times 23
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\begin{array}{l}\phantom{138)}\phantom{1}\\138\overline{)19044}\\\end{array}
Use the 1^{st} digit 1 from dividend 19044
\begin{array}{l}\phantom{138)}0\phantom{2}\\138\overline{)19044}\\\end{array}
Since 1 is less than 138, use the next digit 9 from dividend 19044 and add 0 to the quotient
\begin{array}{l}\phantom{138)}0\phantom{3}\\138\overline{)19044}\\\end{array}
Use the 2^{nd} digit 9 from dividend 19044
\begin{array}{l}\phantom{138)}00\phantom{4}\\138\overline{)19044}\\\end{array}
Since 19 is less than 138, use the next digit 0 from dividend 19044 and add 0 to the quotient
\begin{array}{l}\phantom{138)}00\phantom{5}\\138\overline{)19044}\\\end{array}
Use the 3^{rd} digit 0 from dividend 19044
\begin{array}{l}\phantom{138)}001\phantom{6}\\138\overline{)19044}\\\phantom{138)}\underline{\phantom{}138\phantom{99}}\\\phantom{138)9}52\\\end{array}
Find closest multiple of 138 to 190. We see that 1 \times 138 = 138 is the nearest. Now subtract 138 from 190 to get reminder 52. Add 1 to quotient.
\begin{array}{l}\phantom{138)}001\phantom{7}\\138\overline{)19044}\\\phantom{138)}\underline{\phantom{}138\phantom{99}}\\\phantom{138)9}524\\\end{array}
Use the 4^{th} digit 4 from dividend 19044
\begin{array}{l}\phantom{138)}0013\phantom{8}\\138\overline{)19044}\\\phantom{138)}\underline{\phantom{}138\phantom{99}}\\\phantom{138)9}524\\\phantom{138)}\underline{\phantom{9}414\phantom{9}}\\\phantom{138)9}110\\\end{array}
Find closest multiple of 138 to 524. We see that 3 \times 138 = 414 is the nearest. Now subtract 414 from 524 to get reminder 110. Add 3 to quotient.
\begin{array}{l}\phantom{138)}0013\phantom{9}\\138\overline{)19044}\\\phantom{138)}\underline{\phantom{}138\phantom{99}}\\\phantom{138)9}524\\\phantom{138)}\underline{\phantom{9}414\phantom{9}}\\\phantom{138)9}1104\\\end{array}
Use the 5^{th} digit 4 from dividend 19044
\begin{array}{l}\phantom{138)}00138\phantom{10}\\138\overline{)19044}\\\phantom{138)}\underline{\phantom{}138\phantom{99}}\\\phantom{138)9}524\\\phantom{138)}\underline{\phantom{9}414\phantom{9}}\\\phantom{138)9}1104\\\phantom{138)}\underline{\phantom{9}1104\phantom{}}\\\phantom{138)99999}0\\\end{array}
Find closest multiple of 138 to 1104. We see that 8 \times 138 = 1104 is the nearest. Now subtract 1104 from 1104 to get reminder 0. Add 8 to quotient.
\text{Quotient: }138 \text{Reminder: }0
Since 0 is less than 138, stop the division. The reminder is 0. The topmost line 00138 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 138.
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}