Evaluate
\frac{337}{2}=168.5
Factor
\frac{337}{2} = 168\frac{1}{2} = 168.5
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\begin{array}{l}\phantom{20)}\phantom{1}\\20\overline{)3370}\\\end{array}
Use the 1^{st} digit 3 from dividend 3370
\begin{array}{l}\phantom{20)}0\phantom{2}\\20\overline{)3370}\\\end{array}
Since 3 is less than 20, use the next digit 3 from dividend 3370 and add 0 to the quotient
\begin{array}{l}\phantom{20)}0\phantom{3}\\20\overline{)3370}\\\end{array}
Use the 2^{nd} digit 3 from dividend 3370
\begin{array}{l}\phantom{20)}01\phantom{4}\\20\overline{)3370}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}13\\\end{array}
Find closest multiple of 20 to 33. We see that 1 \times 20 = 20 is the nearest. Now subtract 20 from 33 to get reminder 13. Add 1 to quotient.
\begin{array}{l}\phantom{20)}01\phantom{5}\\20\overline{)3370}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}137\\\end{array}
Use the 3^{rd} digit 7 from dividend 3370
\begin{array}{l}\phantom{20)}016\phantom{6}\\20\overline{)3370}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}137\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}17\\\end{array}
Find closest multiple of 20 to 137. We see that 6 \times 20 = 120 is the nearest. Now subtract 120 from 137 to get reminder 17. Add 6 to quotient.
\begin{array}{l}\phantom{20)}016\phantom{7}\\20\overline{)3370}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}137\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}170\\\end{array}
Use the 4^{th} digit 0 from dividend 3370
\begin{array}{l}\phantom{20)}0168\phantom{8}\\20\overline{)3370}\\\phantom{20)}\underline{\phantom{}20\phantom{99}}\\\phantom{20)}137\\\phantom{20)}\underline{\phantom{}120\phantom{9}}\\\phantom{20)9}170\\\phantom{20)}\underline{\phantom{9}160\phantom{}}\\\phantom{20)99}10\\\end{array}
Find closest multiple of 20 to 170. We see that 8 \times 20 = 160 is the nearest. Now subtract 160 from 170 to get reminder 10. Add 8 to quotient.
\text{Quotient: }168 \text{Reminder: }10
Since 10 is less than 20, stop the division. The reminder is 10. The topmost line 0168 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 168.
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}