Evaluate
84
Factor
2^{2}\times 3\times 7
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\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)1428}\\\end{array}
Use the 1^{st} digit 1 from dividend 1428
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)1428}\\\end{array}
Since 1 is less than 17, use the next digit 4 from dividend 1428 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)1428}\\\end{array}
Use the 2^{nd} digit 4 from dividend 1428
\begin{array}{l}\phantom{17)}00\phantom{4}\\17\overline{)1428}\\\end{array}
Since 14 is less than 17, use the next digit 2 from dividend 1428 and add 0 to the quotient
\begin{array}{l}\phantom{17)}00\phantom{5}\\17\overline{)1428}\\\end{array}
Use the 3^{rd} digit 2 from dividend 1428
\begin{array}{l}\phantom{17)}008\phantom{6}\\17\overline{)1428}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)99}6\\\end{array}
Find closest multiple of 17 to 142. We see that 8 \times 17 = 136 is the nearest. Now subtract 136 from 142 to get reminder 6. Add 8 to quotient.
\begin{array}{l}\phantom{17)}008\phantom{7}\\17\overline{)1428}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)99}68\\\end{array}
Use the 4^{th} digit 8 from dividend 1428
\begin{array}{l}\phantom{17)}0084\phantom{8}\\17\overline{)1428}\\\phantom{17)}\underline{\phantom{}136\phantom{9}}\\\phantom{17)99}68\\\phantom{17)}\underline{\phantom{99}68\phantom{}}\\\phantom{17)9999}0\\\end{array}
Find closest multiple of 17 to 68. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 68 to get reminder 0. Add 4 to quotient.
\text{Quotient: }84 \text{Reminder: }0
Since 0 is less than 17, stop the division. The reminder is 0. The topmost line 0084 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 84.
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}