Evaluate
38
Factor
2\times 19
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\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)2432}\\\end{array}
Use the 1^{st} digit 2 from dividend 2432
\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)2432}\\\end{array}
Since 2 is less than 64, use the next digit 4 from dividend 2432 and add 0 to the quotient
\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)2432}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2432
\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)2432}\\\end{array}
Since 24 is less than 64, use the next digit 3 from dividend 2432 and add 0 to the quotient
\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)2432}\\\end{array}
Use the 3^{rd} digit 3 from dividend 2432
\begin{array}{l}\phantom{64)}003\phantom{6}\\64\overline{)2432}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}51\\\end{array}
Find closest multiple of 64 to 243. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 243 to get reminder 51. Add 3 to quotient.
\begin{array}{l}\phantom{64)}003\phantom{7}\\64\overline{)2432}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}512\\\end{array}
Use the 4^{th} digit 2 from dividend 2432
\begin{array}{l}\phantom{64)}0038\phantom{8}\\64\overline{)2432}\\\phantom{64)}\underline{\phantom{}192\phantom{9}}\\\phantom{64)9}512\\\phantom{64)}\underline{\phantom{9}512\phantom{}}\\\phantom{64)9999}0\\\end{array}
Find closest multiple of 64 to 512. We see that 8 \times 64 = 512 is the nearest. Now subtract 512 from 512 to get reminder 0. Add 8 to quotient.
\text{Quotient: }38 \text{Reminder: }0
Since 0 is less than 64, 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}