Evaluate
\frac{238}{13}\approx 18.307692308
Factor
\frac{2 \cdot 7 \cdot 17}{13} = 18\frac{4}{13} = 18.307692307692307
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\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)476}\\\end{array}
Use the 1^{st} digit 4 from dividend 476
\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)476}\\\end{array}
Since 4 is less than 26, use the next digit 7 from dividend 476 and add 0 to the quotient
\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)476}\\\end{array}
Use the 2^{nd} digit 7 from dividend 476
\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)476}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}21\\\end{array}
Find closest multiple of 26 to 47. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 47 to get reminder 21. Add 1 to quotient.
\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)476}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}216\\\end{array}
Use the 3^{rd} digit 6 from dividend 476
\begin{array}{l}\phantom{26)}018\phantom{6}\\26\overline{)476}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}216\\\phantom{26)}\underline{\phantom{}208\phantom{}}\\\phantom{26)99}8\\\end{array}
Find closest multiple of 26 to 216. We see that 8 \times 26 = 208 is the nearest. Now subtract 208 from 216 to get reminder 8. Add 8 to quotient.
\text{Quotient: }18 \text{Reminder: }8
Since 8 is less than 26, stop the division. The reminder is 8. The topmost line 018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.
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}