Evaluate
\frac{2400000}{49}\approx 48979.591836735
Factor
\frac{2 ^ {8} \cdot 3 \cdot 5 ^ {5}}{7 ^ {2}} = 48979\frac{29}{49} = 48979.5918367347
Share
Copied to clipboard
\begin{array}{l}\phantom{49)}\phantom{1}\\49\overline{)2400000}\\\end{array}
Use the 1^{st} digit 2 from dividend 2400000
\begin{array}{l}\phantom{49)}0\phantom{2}\\49\overline{)2400000}\\\end{array}
Since 2 is less than 49, use the next digit 4 from dividend 2400000 and add 0 to the quotient
\begin{array}{l}\phantom{49)}0\phantom{3}\\49\overline{)2400000}\\\end{array}
Use the 2^{nd} digit 4 from dividend 2400000
\begin{array}{l}\phantom{49)}00\phantom{4}\\49\overline{)2400000}\\\end{array}
Since 24 is less than 49, use the next digit 0 from dividend 2400000 and add 0 to the quotient
\begin{array}{l}\phantom{49)}00\phantom{5}\\49\overline{)2400000}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2400000
\begin{array}{l}\phantom{49)}004\phantom{6}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}44\\\end{array}
Find closest multiple of 49 to 240. We see that 4 \times 49 = 196 is the nearest. Now subtract 196 from 240 to get reminder 44. Add 4 to quotient.
\begin{array}{l}\phantom{49)}004\phantom{7}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\end{array}
Use the 4^{th} digit 0 from dividend 2400000
\begin{array}{l}\phantom{49)}0048\phantom{8}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}48\\\end{array}
Find closest multiple of 49 to 440. We see that 8 \times 49 = 392 is the nearest. Now subtract 392 from 440 to get reminder 48. Add 8 to quotient.
\begin{array}{l}\phantom{49)}0048\phantom{9}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\end{array}
Use the 5^{th} digit 0 from dividend 2400000
\begin{array}{l}\phantom{49)}00489\phantom{10}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\phantom{49)}\underline{\phantom{99}441\phantom{99}}\\\phantom{49)999}39\\\end{array}
Find closest multiple of 49 to 480. We see that 9 \times 49 = 441 is the nearest. Now subtract 441 from 480 to get reminder 39. Add 9 to quotient.
\begin{array}{l}\phantom{49)}00489\phantom{11}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\phantom{49)}\underline{\phantom{99}441\phantom{99}}\\\phantom{49)999}390\\\end{array}
Use the 6^{th} digit 0 from dividend 2400000
\begin{array}{l}\phantom{49)}004897\phantom{12}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\phantom{49)}\underline{\phantom{99}441\phantom{99}}\\\phantom{49)999}390\\\phantom{49)}\underline{\phantom{999}343\phantom{9}}\\\phantom{49)9999}47\\\end{array}
Find closest multiple of 49 to 390. We see that 7 \times 49 = 343 is the nearest. Now subtract 343 from 390 to get reminder 47. Add 7 to quotient.
\begin{array}{l}\phantom{49)}004897\phantom{13}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\phantom{49)}\underline{\phantom{99}441\phantom{99}}\\\phantom{49)999}390\\\phantom{49)}\underline{\phantom{999}343\phantom{9}}\\\phantom{49)9999}470\\\end{array}
Use the 7^{th} digit 0 from dividend 2400000
\begin{array}{l}\phantom{49)}0048979\phantom{14}\\49\overline{)2400000}\\\phantom{49)}\underline{\phantom{}196\phantom{9999}}\\\phantom{49)9}440\\\phantom{49)}\underline{\phantom{9}392\phantom{999}}\\\phantom{49)99}480\\\phantom{49)}\underline{\phantom{99}441\phantom{99}}\\\phantom{49)999}390\\\phantom{49)}\underline{\phantom{999}343\phantom{9}}\\\phantom{49)9999}470\\\phantom{49)}\underline{\phantom{9999}441\phantom{}}\\\phantom{49)99999}29\\\end{array}
Find closest multiple of 49 to 470. We see that 9 \times 49 = 441 is the nearest. Now subtract 441 from 470 to get reminder 29. Add 9 to quotient.
\text{Quotient: }48979 \text{Reminder: }29
Since 29 is less than 49, stop the division. The reminder is 29. The topmost line 0048979 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 48979.
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}