Evaluate
16
Factor
2^{4}
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\begin{array}{l}\phantom{2240)}\phantom{1}\\2240\overline{)35840}\\\end{array}
Use the 1^{st} digit 3 from dividend 35840
\begin{array}{l}\phantom{2240)}0\phantom{2}\\2240\overline{)35840}\\\end{array}
Since 3 is less than 2240, use the next digit 5 from dividend 35840 and add 0 to the quotient
\begin{array}{l}\phantom{2240)}0\phantom{3}\\2240\overline{)35840}\\\end{array}
Use the 2^{nd} digit 5 from dividend 35840
\begin{array}{l}\phantom{2240)}00\phantom{4}\\2240\overline{)35840}\\\end{array}
Since 35 is less than 2240, use the next digit 8 from dividend 35840 and add 0 to the quotient
\begin{array}{l}\phantom{2240)}00\phantom{5}\\2240\overline{)35840}\\\end{array}
Use the 3^{rd} digit 8 from dividend 35840
\begin{array}{l}\phantom{2240)}000\phantom{6}\\2240\overline{)35840}\\\end{array}
Since 358 is less than 2240, use the next digit 4 from dividend 35840 and add 0 to the quotient
\begin{array}{l}\phantom{2240)}000\phantom{7}\\2240\overline{)35840}\\\end{array}
Use the 4^{th} digit 4 from dividend 35840
\begin{array}{l}\phantom{2240)}0001\phantom{8}\\2240\overline{)35840}\\\phantom{2240)}\underline{\phantom{}2240\phantom{9}}\\\phantom{2240)}1344\\\end{array}
Find closest multiple of 2240 to 3584. We see that 1 \times 2240 = 2240 is the nearest. Now subtract 2240 from 3584 to get reminder 1344. Add 1 to quotient.
\begin{array}{l}\phantom{2240)}0001\phantom{9}\\2240\overline{)35840}\\\phantom{2240)}\underline{\phantom{}2240\phantom{9}}\\\phantom{2240)}13440\\\end{array}
Use the 5^{th} digit 0 from dividend 35840
\begin{array}{l}\phantom{2240)}00016\phantom{10}\\2240\overline{)35840}\\\phantom{2240)}\underline{\phantom{}2240\phantom{9}}\\\phantom{2240)}13440\\\phantom{2240)}\underline{\phantom{}13440\phantom{}}\\\phantom{2240)99999}0\\\end{array}
Find closest multiple of 2240 to 13440. We see that 6 \times 2240 = 13440 is the nearest. Now subtract 13440 from 13440 to get reminder 0. Add 6 to quotient.
\text{Quotient: }16 \text{Reminder: }0
Since 0 is less than 2240, stop the division. The reminder is 0. The topmost line 00016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.
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}