Solve 67824div314

$$67824 \div 314$$

Evaluate

$$216$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 67824

$$\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)67824}\\\end{array}$$

Since 6 is less than 314, use the next digit 7 from dividend 67824 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)67824}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 67824

$$\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)67824}\\\end{array}$$

Since 67 is less than 314, use the next digit 8 from dividend 67824 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)67824}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 67824

$$\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)67824}\\\end{array}$$

Find closest multiple of 314 to 678. We see that 2 \times 314 = 628 is the nearest. Now subtract 628 from 678 to get reminder 50. Add 2 to quotient.

$$\begin{array}{l}\phantom{314)}002\phantom{6}\\314\overline{)67824}\\\phantom{314)}\underline{\phantom{}628\phantom{99}}\\\phantom{314)9}50\\\end{array}$$

Use the 4^{th} digit 2 from dividend 67824

$$\begin{array}{l}\phantom{314)}002\phantom{7}\\314\overline{)67824}\\\phantom{314)}\underline{\phantom{}628\phantom{99}}\\\phantom{314)9}502\\\end{array}$$

Find closest multiple of 314 to 502. We see that 1 \times 314 = 314 is the nearest. Now subtract 314 from 502 to get reminder 188. Add 1 to quotient.

$$\begin{array}{l}\phantom{314)}0021\phantom{8}\\314\overline{)67824}\\\phantom{314)}\underline{\phantom{}628\phantom{99}}\\\phantom{314)9}502\\\phantom{314)}\underline{\phantom{9}314\phantom{9}}\\\phantom{314)9}188\\\end{array}$$

Use the 5^{th} digit 4 from dividend 67824

$$\begin{array}{l}\phantom{314)}0021\phantom{9}\\314\overline{)67824}\\\phantom{314)}\underline{\phantom{}628\phantom{99}}\\\phantom{314)9}502\\\phantom{314)}\underline{\phantom{9}314\phantom{9}}\\\phantom{314)9}1884\\\end{array}$$

Find closest multiple of 314 to 1884. We see that 6 \times 314 = 1884 is the nearest. Now subtract 1884 from 1884 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{314)}00216\phantom{10}\\314\overline{)67824}\\\phantom{314)}\underline{\phantom{}628\phantom{99}}\\\phantom{314)9}502\\\phantom{314)}\underline{\phantom{9}314\phantom{9}}\\\phantom{314)9}1884\\\phantom{314)}\underline{\phantom{9}1884\phantom{}}\\\phantom{314)99999}0\\\end{array}$$

Since 0 is less than 314, stop the division. The reminder is 0. The topmost line 00216 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 216.

$$\text{Quotient: }216 \text{Reminder: }0$$

Factor

$$2^{3}\times 3^{3}$$