Solve 9414div33

$$9414 \div 33$$

Evaluate

$$\frac{3138}{11}\approx 285.272727273$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9414

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)9414}\\\end{array}$$

Since 9 is less than 33, use the next digit 4 from dividend 9414 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)9414}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 9414

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)9414}\\\end{array}$$

Find closest multiple of 33 to 94. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 94 to get reminder 28. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}02\phantom{4}\\33\overline{)9414}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}28\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 9414

$$\begin{array}{l}\phantom{33)}02\phantom{5}\\33\overline{)9414}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}281\\\end{array}$$

Find closest multiple of 33 to 281. We see that 8 \times 33 = 264 is the nearest. Now subtract 264 from 281 to get reminder 17. Add 8 to quotient.

$$\begin{array}{l}\phantom{33)}028\phantom{6}\\33\overline{)9414}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}281\\\phantom{33)}\underline{\phantom{}264\phantom{9}}\\\phantom{33)9}17\\\end{array}$$

Use the 4^{th} digit 4 from dividend 9414

$$\begin{array}{l}\phantom{33)}028\phantom{7}\\33\overline{)9414}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}281\\\phantom{33)}\underline{\phantom{}264\phantom{9}}\\\phantom{33)9}174\\\end{array}$$

Find closest multiple of 33 to 174. We see that 5 \times 33 = 165 is the nearest. Now subtract 165 from 174 to get reminder 9. Add 5 to quotient.

$$\begin{array}{l}\phantom{33)}0285\phantom{8}\\33\overline{)9414}\\\phantom{33)}\underline{\phantom{}66\phantom{99}}\\\phantom{33)}281\\\phantom{33)}\underline{\phantom{}264\phantom{9}}\\\phantom{33)9}174\\\phantom{33)}\underline{\phantom{9}165\phantom{}}\\\phantom{33)999}9\\\end{array}$$

Since 9 is less than 33, stop the division. The reminder is 9. The topmost line 0285 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 285.

$$\text{Quotient: }285 \text{Reminder: }9$$

Factor

$$\frac{2 \cdot 3 \cdot 523}{11} = 285\frac{3}{11} = 285.27272727272725$$