Solve 2826div314

$$2826 \div 314$$

Evaluate

$$9$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2826

$$\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)2826}\\\end{array}$$

Since 2 is less than 314, use the next digit 8 from dividend 2826 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)2826}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2826

$$\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)2826}\\\end{array}$$

Since 28 is less than 314, use the next digit 2 from dividend 2826 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)2826}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 2826

$$\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)2826}\\\end{array}$$

Since 282 is less than 314, use the next digit 6 from dividend 2826 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}000\phantom{6}\\314\overline{)2826}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2826

$$\begin{array}{l}\phantom{314)}000\phantom{7}\\314\overline{)2826}\\\end{array}$$

Find closest multiple of 314 to 2826. We see that 9 \times 314 = 2826 is the nearest. Now subtract 2826 from 2826 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{314)}0009\phantom{8}\\314\overline{)2826}\\\phantom{314)}\underline{\phantom{}2826\phantom{}}\\\phantom{314)9999}0\\\end{array}$$

Since 0 is less than 314, stop the division. The reminder is 0. The topmost line 0009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }0$$

Factor

$$3^{2}$$