Solve 6946/23

$$\frac { 6946 } { 23 }$$

Evaluate

$$302$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6946

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)6946}\\\end{array}$$

Since 6 is less than 23, use the next digit 9 from dividend 6946 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)6946}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6946

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)6946}\\\end{array}$$

Find closest multiple of 23 to 69. We see that 3 \times 23 = 69 is the nearest. Now subtract 69 from 69 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{23)}03\phantom{4}\\23\overline{)6946}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)99}0\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 6946

$$\begin{array}{l}\phantom{23)}03\phantom{5}\\23\overline{)6946}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)99}4\\\end{array}$$

Since 4 is less than 23, use the next digit 6 from dividend 6946 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}030\phantom{6}\\23\overline{)6946}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)99}4\\\end{array}$$

Use the 4^{th} digit 6 from dividend 6946

$$\begin{array}{l}\phantom{23)}030\phantom{7}\\23\overline{)6946}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)99}46\\\end{array}$$

Find closest multiple of 23 to 46. We see that 2 \times 23 = 46 is the nearest. Now subtract 46 from 46 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{23)}0302\phantom{8}\\23\overline{)6946}\\\phantom{23)}\underline{\phantom{}69\phantom{99}}\\\phantom{23)99}46\\\phantom{23)}\underline{\phantom{99}46\phantom{}}\\\phantom{23)9999}0\\\end{array}$$

Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 0302 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 302.

$$\text{Quotient: }302 \text{Reminder: }0$$

Factor

$$2\times 151$$