Evaluate
\frac{217}{4}=54.25
Factor
\frac{7 \cdot 31}{2 ^ {2}} = 54\frac{1}{4} = 54.25
Share
Copied to clipboard
\begin{array}{l}\phantom{160)}\phantom{1}\\160\overline{)8680}\\\end{array}
Use the 1^{st} digit 8 from dividend 8680
\begin{array}{l}\phantom{160)}0\phantom{2}\\160\overline{)8680}\\\end{array}
Since 8 is less than 160, use the next digit 6 from dividend 8680 and add 0 to the quotient
\begin{array}{l}\phantom{160)}0\phantom{3}\\160\overline{)8680}\\\end{array}
Use the 2^{nd} digit 6 from dividend 8680
\begin{array}{l}\phantom{160)}00\phantom{4}\\160\overline{)8680}\\\end{array}
Since 86 is less than 160, use the next digit 8 from dividend 8680 and add 0 to the quotient
\begin{array}{l}\phantom{160)}00\phantom{5}\\160\overline{)8680}\\\end{array}
Use the 3^{rd} digit 8 from dividend 8680
\begin{array}{l}\phantom{160)}005\phantom{6}\\160\overline{)8680}\\\phantom{160)}\underline{\phantom{}800\phantom{9}}\\\phantom{160)9}68\\\end{array}
Find closest multiple of 160 to 868. We see that 5 \times 160 = 800 is the nearest. Now subtract 800 from 868 to get reminder 68. Add 5 to quotient.
\begin{array}{l}\phantom{160)}005\phantom{7}\\160\overline{)8680}\\\phantom{160)}\underline{\phantom{}800\phantom{9}}\\\phantom{160)9}680\\\end{array}
Use the 4^{th} digit 0 from dividend 8680
\begin{array}{l}\phantom{160)}0054\phantom{8}\\160\overline{)8680}\\\phantom{160)}\underline{\phantom{}800\phantom{9}}\\\phantom{160)9}680\\\phantom{160)}\underline{\phantom{9}640\phantom{}}\\\phantom{160)99}40\\\end{array}
Find closest multiple of 160 to 680. We see that 4 \times 160 = 640 is the nearest. Now subtract 640 from 680 to get reminder 40. Add 4 to quotient.
\text{Quotient: }54 \text{Reminder: }40
Since 40 is less than 160, stop the division. The reminder is 40. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.
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}