Evaluate
\frac{6287}{40}=157.175
Factor
\frac{6287}{2 ^ {3} \cdot 5} = 157\frac{7}{40} = 157.175
Share
Copied to clipboard
\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)6287}\\\end{array}
Use the 1^{st} digit 6 from dividend 6287
\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)6287}\\\end{array}
Since 6 is less than 40, use the next digit 2 from dividend 6287 and add 0 to the quotient
\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)6287}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6287
\begin{array}{l}\phantom{40)}01\phantom{4}\\40\overline{)6287}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}22\\\end{array}
Find closest multiple of 40 to 62. We see that 1 \times 40 = 40 is the nearest. Now subtract 40 from 62 to get reminder 22. Add 1 to quotient.
\begin{array}{l}\phantom{40)}01\phantom{5}\\40\overline{)6287}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}228\\\end{array}
Use the 3^{rd} digit 8 from dividend 6287
\begin{array}{l}\phantom{40)}015\phantom{6}\\40\overline{)6287}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}228\\\phantom{40)}\underline{\phantom{}200\phantom{9}}\\\phantom{40)9}28\\\end{array}
Find closest multiple of 40 to 228. We see that 5 \times 40 = 200 is the nearest. Now subtract 200 from 228 to get reminder 28. Add 5 to quotient.
\begin{array}{l}\phantom{40)}015\phantom{7}\\40\overline{)6287}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}228\\\phantom{40)}\underline{\phantom{}200\phantom{9}}\\\phantom{40)9}287\\\end{array}
Use the 4^{th} digit 7 from dividend 6287
\begin{array}{l}\phantom{40)}0157\phantom{8}\\40\overline{)6287}\\\phantom{40)}\underline{\phantom{}40\phantom{99}}\\\phantom{40)}228\\\phantom{40)}\underline{\phantom{}200\phantom{9}}\\\phantom{40)9}287\\\phantom{40)}\underline{\phantom{9}280\phantom{}}\\\phantom{40)999}7\\\end{array}
Find closest multiple of 40 to 287. We see that 7 \times 40 = 280 is the nearest. Now subtract 280 from 287 to get reminder 7. Add 7 to quotient.
\text{Quotient: }157 \text{Reminder: }7
Since 7 is less than 40, stop the division. The reminder is 7. The topmost line 0157 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 157.
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}