Evaluate
6589
Factor
11\times 599
Share
Copied to clipboard
\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)98835}\\\end{array}
Use the 1^{st} digit 9 from dividend 98835
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)98835}\\\end{array}
Since 9 is less than 15, use the next digit 8 from dividend 98835 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)98835}\\\end{array}
Use the 2^{nd} digit 8 from dividend 98835
\begin{array}{l}\phantom{15)}06\phantom{4}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}8\\\end{array}
Find closest multiple of 15 to 98. We see that 6 \times 15 = 90 is the nearest. Now subtract 90 from 98 to get reminder 8. Add 6 to quotient.
\begin{array}{l}\phantom{15)}06\phantom{5}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\end{array}
Use the 3^{rd} digit 8 from dividend 98835
\begin{array}{l}\phantom{15)}065\phantom{6}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\phantom{15)}\underline{\phantom{9}75\phantom{99}}\\\phantom{15)9}13\\\end{array}
Find closest multiple of 15 to 88. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 88 to get reminder 13. Add 5 to quotient.
\begin{array}{l}\phantom{15)}065\phantom{7}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\phantom{15)}\underline{\phantom{9}75\phantom{99}}\\\phantom{15)9}133\\\end{array}
Use the 4^{th} digit 3 from dividend 98835
\begin{array}{l}\phantom{15)}0658\phantom{8}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\phantom{15)}\underline{\phantom{9}75\phantom{99}}\\\phantom{15)9}133\\\phantom{15)}\underline{\phantom{9}120\phantom{9}}\\\phantom{15)99}13\\\end{array}
Find closest multiple of 15 to 133. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 133 to get reminder 13. Add 8 to quotient.
\begin{array}{l}\phantom{15)}0658\phantom{9}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\phantom{15)}\underline{\phantom{9}75\phantom{99}}\\\phantom{15)9}133\\\phantom{15)}\underline{\phantom{9}120\phantom{9}}\\\phantom{15)99}135\\\end{array}
Use the 5^{th} digit 5 from dividend 98835
\begin{array}{l}\phantom{15)}06589\phantom{10}\\15\overline{)98835}\\\phantom{15)}\underline{\phantom{}90\phantom{999}}\\\phantom{15)9}88\\\phantom{15)}\underline{\phantom{9}75\phantom{99}}\\\phantom{15)9}133\\\phantom{15)}\underline{\phantom{9}120\phantom{9}}\\\phantom{15)99}135\\\phantom{15)}\underline{\phantom{99}135\phantom{}}\\\phantom{15)99999}0\\\end{array}
Find closest multiple of 15 to 135. We see that 9 \times 15 = 135 is the nearest. Now subtract 135 from 135 to get reminder 0. Add 9 to quotient.
\text{Quotient: }6589 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 06589 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6589.
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}