Evaluate
\frac{37}{7}\approx 5.285714286
Factor
\frac{37}{7} = 5\frac{2}{7} = 5.285714285714286
Share
Copied to clipboard
\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)222}\\\end{array}
Use the 1^{st} digit 2 from dividend 222
\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)222}\\\end{array}
Since 2 is less than 42, use the next digit 2 from dividend 222 and add 0 to the quotient
\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)222}\\\end{array}
Use the 2^{nd} digit 2 from dividend 222
\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)222}\\\end{array}
Since 22 is less than 42, use the next digit 2 from dividend 222 and add 0 to the quotient
\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)222}\\\end{array}
Use the 3^{rd} digit 2 from dividend 222
\begin{array}{l}\phantom{42)}005\phantom{6}\\42\overline{)222}\\\phantom{42)}\underline{\phantom{}210\phantom{}}\\\phantom{42)9}12\\\end{array}
Find closest multiple of 42 to 222. We see that 5 \times 42 = 210 is the nearest. Now subtract 210 from 222 to get reminder 12. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }12
Since 12 is less than 42, stop the division. The reminder is 12. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.
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}