Evaluate
35
Factor
5\times 7
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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)3500}\\\end{array}
Use the 1^{st} digit 3 from dividend 3500
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)3500}\\\end{array}
Since 3 is less than 100, use the next digit 5 from dividend 3500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)3500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 3500
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)3500}\\\end{array}
Since 35 is less than 100, use the next digit 0 from dividend 3500 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)3500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 3500
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)3500}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}50\\\end{array}
Find closest multiple of 100 to 350. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 350 to get reminder 50. Add 3 to quotient.
\begin{array}{l}\phantom{100)}003\phantom{7}\\100\overline{)3500}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}500\\\end{array}
Use the 4^{th} digit 0 from dividend 3500
\begin{array}{l}\phantom{100)}0035\phantom{8}\\100\overline{)3500}\\\phantom{100)}\underline{\phantom{}300\phantom{9}}\\\phantom{100)9}500\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 500. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 500 to get reminder 0. Add 5 to quotient.
\text{Quotient: }35 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.
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}