Evaluate
\frac{2136}{17}\approx 125.647058824
Factor
\frac{2 ^ {3} \cdot 3 \cdot 89}{17} = 125\frac{11}{17} = 125.6470588235294
Share
Copied to clipboard
\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)2136}\\\end{array}
Use the 1^{st} digit 2 from dividend 2136
\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)2136}\\\end{array}
Since 2 is less than 17, use the next digit 1 from dividend 2136 and add 0 to the quotient
\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)2136}\\\end{array}
Use the 2^{nd} digit 1 from dividend 2136
\begin{array}{l}\phantom{17)}01\phantom{4}\\17\overline{)2136}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}4\\\end{array}
Find closest multiple of 17 to 21. We see that 1 \times 17 = 17 is the nearest. Now subtract 17 from 21 to get reminder 4. Add 1 to quotient.
\begin{array}{l}\phantom{17)}01\phantom{5}\\17\overline{)2136}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}43\\\end{array}
Use the 3^{rd} digit 3 from dividend 2136
\begin{array}{l}\phantom{17)}012\phantom{6}\\17\overline{)2136}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}43\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}9\\\end{array}
Find closest multiple of 17 to 43. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 43 to get reminder 9. Add 2 to quotient.
\begin{array}{l}\phantom{17)}012\phantom{7}\\17\overline{)2136}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}43\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}96\\\end{array}
Use the 4^{th} digit 6 from dividend 2136
\begin{array}{l}\phantom{17)}0125\phantom{8}\\17\overline{)2136}\\\phantom{17)}\underline{\phantom{}17\phantom{99}}\\\phantom{17)9}43\\\phantom{17)}\underline{\phantom{9}34\phantom{9}}\\\phantom{17)99}96\\\phantom{17)}\underline{\phantom{99}85\phantom{}}\\\phantom{17)99}11\\\end{array}
Find closest multiple of 17 to 96. We see that 5 \times 17 = 85 is the nearest. Now subtract 85 from 96 to get reminder 11. Add 5 to quotient.
\text{Quotient: }125 \text{Reminder: }11
Since 11 is less than 17, stop the division. The reminder is 11. The topmost line 0125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 125.
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}