Evaluate
42
Factor
2\times 3\times 7
Share
Copied to clipboard
\begin{array}{l}\phantom{70)}\phantom{1}\\70\overline{)2940}\\\end{array}
Use the 1^{st} digit 2 from dividend 2940
\begin{array}{l}\phantom{70)}0\phantom{2}\\70\overline{)2940}\\\end{array}
Since 2 is less than 70, use the next digit 9 from dividend 2940 and add 0 to the quotient
\begin{array}{l}\phantom{70)}0\phantom{3}\\70\overline{)2940}\\\end{array}
Use the 2^{nd} digit 9 from dividend 2940
\begin{array}{l}\phantom{70)}00\phantom{4}\\70\overline{)2940}\\\end{array}
Since 29 is less than 70, use the next digit 4 from dividend 2940 and add 0 to the quotient
\begin{array}{l}\phantom{70)}00\phantom{5}\\70\overline{)2940}\\\end{array}
Use the 3^{rd} digit 4 from dividend 2940
\begin{array}{l}\phantom{70)}004\phantom{6}\\70\overline{)2940}\\\phantom{70)}\underline{\phantom{}280\phantom{9}}\\\phantom{70)9}14\\\end{array}
Find closest multiple of 70 to 294. We see that 4 \times 70 = 280 is the nearest. Now subtract 280 from 294 to get reminder 14. Add 4 to quotient.
\begin{array}{l}\phantom{70)}004\phantom{7}\\70\overline{)2940}\\\phantom{70)}\underline{\phantom{}280\phantom{9}}\\\phantom{70)9}140\\\end{array}
Use the 4^{th} digit 0 from dividend 2940
\begin{array}{l}\phantom{70)}0042\phantom{8}\\70\overline{)2940}\\\phantom{70)}\underline{\phantom{}280\phantom{9}}\\\phantom{70)9}140\\\phantom{70)}\underline{\phantom{9}140\phantom{}}\\\phantom{70)9999}0\\\end{array}
Find closest multiple of 70 to 140. We see that 2 \times 70 = 140 is the nearest. Now subtract 140 from 140 to get reminder 0. Add 2 to quotient.
\text{Quotient: }42 \text{Reminder: }0
Since 0 is less than 70, stop the division. The reminder is 0. The topmost line 0042 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 42.
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}