Evaluate
34
Factor
2\times 17
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\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)544}\\\end{array}
Use the 1^{st} digit 5 from dividend 544
\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)544}\\\end{array}
Since 5 is less than 16, use the next digit 4 from dividend 544 and add 0 to the quotient
\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)544}\\\end{array}
Use the 2^{nd} digit 4 from dividend 544
\begin{array}{l}\phantom{16)}03\phantom{4}\\16\overline{)544}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}6\\\end{array}
Find closest multiple of 16 to 54. We see that 3 \times 16 = 48 is the nearest. Now subtract 48 from 54 to get reminder 6. Add 3 to quotient.
\begin{array}{l}\phantom{16)}03\phantom{5}\\16\overline{)544}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}64\\\end{array}
Use the 3^{rd} digit 4 from dividend 544
\begin{array}{l}\phantom{16)}034\phantom{6}\\16\overline{)544}\\\phantom{16)}\underline{\phantom{}48\phantom{9}}\\\phantom{16)9}64\\\phantom{16)}\underline{\phantom{9}64\phantom{}}\\\phantom{16)999}0\\\end{array}
Find closest multiple of 16 to 64. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 64 to get reminder 0. Add 4 to quotient.
\text{Quotient: }34 \text{Reminder: }0
Since 0 is less than 16, stop the division. The reminder is 0. The topmost line 034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.
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}