Evaluate
4
Factor
2^{2}
Share
Copied to clipboard
\begin{array}{l}\phantom{85)}\phantom{1}\\85\overline{)340}\\\end{array}
Use the 1^{st} digit 3 from dividend 340
\begin{array}{l}\phantom{85)}0\phantom{2}\\85\overline{)340}\\\end{array}
Since 3 is less than 85, use the next digit 4 from dividend 340 and add 0 to the quotient
\begin{array}{l}\phantom{85)}0\phantom{3}\\85\overline{)340}\\\end{array}
Use the 2^{nd} digit 4 from dividend 340
\begin{array}{l}\phantom{85)}00\phantom{4}\\85\overline{)340}\\\end{array}
Since 34 is less than 85, use the next digit 0 from dividend 340 and add 0 to the quotient
\begin{array}{l}\phantom{85)}00\phantom{5}\\85\overline{)340}\\\end{array}
Use the 3^{rd} digit 0 from dividend 340
\begin{array}{l}\phantom{85)}004\phantom{6}\\85\overline{)340}\\\phantom{85)}\underline{\phantom{}340\phantom{}}\\\phantom{85)999}0\\\end{array}
Find closest multiple of 85 to 340. We see that 4 \times 85 = 340 is the nearest. Now subtract 340 from 340 to get reminder 0. Add 4 to quotient.
\text{Quotient: }4 \text{Reminder: }0
Since 0 is less than 85, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
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}