Solve 886949/30

$$\frac { 886949 } { 30 }$$

Evaluate

$$\frac{886949}{30}\approx 29564.966666667$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 886949

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)886949}\\\end{array}$$

Since 8 is less than 30, use the next digit 8 from dividend 886949 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)886949}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 886949

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)886949}\\\end{array}$$

Find closest multiple of 30 to 88. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 88 to get reminder 28. Add 2 to quotient.

$$\begin{array}{l}\phantom{30)}02\phantom{4}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}28\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 886949

$$\begin{array}{l}\phantom{30)}02\phantom{5}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\end{array}$$

Find closest multiple of 30 to 286. We see that 9 \times 30 = 270 is the nearest. Now subtract 270 from 286 to get reminder 16. Add 9 to quotient.

$$\begin{array}{l}\phantom{30)}029\phantom{6}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}16\\\end{array}$$

Use the 4^{th} digit 9 from dividend 886949

$$\begin{array}{l}\phantom{30)}029\phantom{7}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\end{array}$$

Find closest multiple of 30 to 169. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 169 to get reminder 19. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}0295\phantom{8}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{99}}\\\phantom{30)99}19\\\end{array}$$

Use the 5^{th} digit 4 from dividend 886949

$$\begin{array}{l}\phantom{30)}0295\phantom{9}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{99}}\\\phantom{30)99}194\\\end{array}$$

Find closest multiple of 30 to 194. We see that 6 \times 30 = 180 is the nearest. Now subtract 180 from 194 to get reminder 14. Add 6 to quotient.

$$\begin{array}{l}\phantom{30)}02956\phantom{10}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{99}}\\\phantom{30)99}194\\\phantom{30)}\underline{\phantom{99}180\phantom{9}}\\\phantom{30)999}14\\\end{array}$$

Use the 6^{th} digit 9 from dividend 886949

$$\begin{array}{l}\phantom{30)}02956\phantom{11}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{99}}\\\phantom{30)99}194\\\phantom{30)}\underline{\phantom{99}180\phantom{9}}\\\phantom{30)999}149\\\end{array}$$

Find closest multiple of 30 to 149. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 149 to get reminder 29. Add 4 to quotient.

$$\begin{array}{l}\phantom{30)}029564\phantom{12}\\30\overline{)886949}\\\phantom{30)}\underline{\phantom{}60\phantom{9999}}\\\phantom{30)}286\\\phantom{30)}\underline{\phantom{}270\phantom{999}}\\\phantom{30)9}169\\\phantom{30)}\underline{\phantom{9}150\phantom{99}}\\\phantom{30)99}194\\\phantom{30)}\underline{\phantom{99}180\phantom{9}}\\\phantom{30)999}149\\\phantom{30)}\underline{\phantom{999}120\phantom{}}\\\phantom{30)9999}29\\\end{array}$$

Since 29 is less than 30, stop the division. The reminder is 29. The topmost line 029564 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29564.

$$\text{Quotient: }29564 \text{Reminder: }29$$

Factor

$$\frac{7 ^ {2} \cdot 23 \cdot 787}{2 \cdot 3 \cdot 5} = 29564\frac{29}{30} = 29564.966666666667$$