Evaluate
185
Factor
5\times 37
Share
Copied to clipboard
\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)5550}\\\end{array}
Use the 1^{st} digit 5 from dividend 5550
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)5550}\\\end{array}
Since 5 is less than 30, use the next digit 5 from dividend 5550 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)5550}\\\end{array}
Use the 2^{nd} digit 5 from dividend 5550
\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)5550}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}25\\\end{array}
Find closest multiple of 30 to 55. We see that 1 \times 30 = 30 is the nearest. Now subtract 30 from 55 to get reminder 25. Add 1 to quotient.
\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)5550}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}255\\\end{array}
Use the 3^{rd} digit 5 from dividend 5550
\begin{array}{l}\phantom{30)}018\phantom{6}\\30\overline{)5550}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}255\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}15\\\end{array}
Find closest multiple of 30 to 255. We see that 8 \times 30 = 240 is the nearest. Now subtract 240 from 255 to get reminder 15. Add 8 to quotient.
\begin{array}{l}\phantom{30)}018\phantom{7}\\30\overline{)5550}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}255\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}150\\\end{array}
Use the 4^{th} digit 0 from dividend 5550
\begin{array}{l}\phantom{30)}0185\phantom{8}\\30\overline{)5550}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)}255\\\phantom{30)}\underline{\phantom{}240\phantom{9}}\\\phantom{30)9}150\\\phantom{30)}\underline{\phantom{9}150\phantom{}}\\\phantom{30)9999}0\\\end{array}
Find closest multiple of 30 to 150. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 150 to get reminder 0. Add 5 to quotient.
\text{Quotient: }185 \text{Reminder: }0
Since 0 is less than 30, stop the division. The reminder is 0. The topmost line 0185 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 185.
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}