Solve 9568/23

$$\frac { 9568 } { 23 }$$

Evaluate

$$416$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9568

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)9568}\\\end{array}$$

Since 9 is less than 23, use the next digit 5 from dividend 9568 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)9568}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 9568

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)9568}\\\end{array}$$

Find closest multiple of 23 to 95. We see that 4 \times 23 = 92 is the nearest. Now subtract 92 from 95 to get reminder 3. Add 4 to quotient.

$$\begin{array}{l}\phantom{23)}04\phantom{4}\\23\overline{)9568}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}3\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 9568

$$\begin{array}{l}\phantom{23)}04\phantom{5}\\23\overline{)9568}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}36\\\end{array}$$

Find closest multiple of 23 to 36. We see that 1 \times 23 = 23 is the nearest. Now subtract 23 from 36 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{23)}041\phantom{6}\\23\overline{)9568}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}36\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)9}13\\\end{array}$$

Use the 4^{th} digit 8 from dividend 9568

$$\begin{array}{l}\phantom{23)}041\phantom{7}\\23\overline{)9568}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}36\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)9}138\\\end{array}$$

Find closest multiple of 23 to 138. We see that 6 \times 23 = 138 is the nearest. Now subtract 138 from 138 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{23)}0416\phantom{8}\\23\overline{)9568}\\\phantom{23)}\underline{\phantom{}92\phantom{99}}\\\phantom{23)9}36\\\phantom{23)}\underline{\phantom{9}23\phantom{9}}\\\phantom{23)9}138\\\phantom{23)}\underline{\phantom{9}138\phantom{}}\\\phantom{23)9999}0\\\end{array}$$

Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 0416 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 416.

$$\text{Quotient: }416 \text{Reminder: }0$$

Factor

$$2^{5}\times 13$$