Solve 10396:23=

$$10396 : 23 =$$

Evaluate

$$452$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10396

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)10396}\\\end{array}$$

Since 1 is less than 23, use the next digit 0 from dividend 10396 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)10396}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10396

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)10396}\\\end{array}$$

Since 10 is less than 23, use the next digit 3 from dividend 10396 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)10396}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 10396

$$\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)10396}\\\end{array}$$

Find closest multiple of 23 to 103. We see that 4 \times 23 = 92 is the nearest. Now subtract 92 from 103 to get reminder 11. Add 4 to quotient.

$$\begin{array}{l}\phantom{23)}004\phantom{6}\\23\overline{)10396}\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}11\\\end{array}$$

Use the 4^{th} digit 9 from dividend 10396

$$\begin{array}{l}\phantom{23)}004\phantom{7}\\23\overline{)10396}\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}119\\\end{array}$$

Find closest multiple of 23 to 119. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 119 to get reminder 4. Add 5 to quotient.

$$\begin{array}{l}\phantom{23)}0045\phantom{8}\\23\overline{)10396}\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}119\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}4\\\end{array}$$

Use the 5^{th} digit 6 from dividend 10396

$$\begin{array}{l}\phantom{23)}0045\phantom{9}\\23\overline{)10396}\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}119\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}46\\\end{array}$$

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.

$$\begin{array}{l}\phantom{23)}00452\phantom{10}\\23\overline{)10396}\\\phantom{23)}\underline{\phantom{9}92\phantom{99}}\\\phantom{23)9}119\\\phantom{23)}\underline{\phantom{9}115\phantom{9}}\\\phantom{23)999}46\\\phantom{23)}\underline{\phantom{999}46\phantom{}}\\\phantom{23)99999}0\\\end{array}$$

Since 0 is less than 23, stop the division. The reminder is 0. The topmost line 00452 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 452.

$$\text{Quotient: }452 \text{Reminder: }0$$

Factor

$$2^{2}\times 113$$