Solve 455625div32

$$455625 \div 32$$

Evaluate

$$\frac{455625}{32}=14238.28125$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 455625

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)455625}\\\end{array}$$

Since 4 is less than 32, use the next digit 5 from dividend 455625 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)455625}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 455625

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)455625}\\\end{array}$$

Find closest multiple of 32 to 45. We see that 1 \times 32 = 32 is the nearest. Now subtract 32 from 45 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{32)}01\phantom{4}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}13\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 455625

$$\begin{array}{l}\phantom{32)}01\phantom{5}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\end{array}$$

Find closest multiple of 32 to 135. We see that 4 \times 32 = 128 is the nearest. Now subtract 128 from 135 to get reminder 7. Add 4 to quotient.

$$\begin{array}{l}\phantom{32)}014\phantom{6}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}7\\\end{array}$$

Use the 4^{th} digit 6 from dividend 455625

$$\begin{array}{l}\phantom{32)}014\phantom{7}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\end{array}$$

Find closest multiple of 32 to 76. We see that 2 \times 32 = 64 is the nearest. Now subtract 64 from 76 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{32)}0142\phantom{8}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\phantom{32)}\underline{\phantom{99}64\phantom{99}}\\\phantom{32)99}12\\\end{array}$$

Use the 5^{th} digit 2 from dividend 455625

$$\begin{array}{l}\phantom{32)}0142\phantom{9}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\phantom{32)}\underline{\phantom{99}64\phantom{99}}\\\phantom{32)99}122\\\end{array}$$

Find closest multiple of 32 to 122. We see that 3 \times 32 = 96 is the nearest. Now subtract 96 from 122 to get reminder 26. Add 3 to quotient.

$$\begin{array}{l}\phantom{32)}01423\phantom{10}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\phantom{32)}\underline{\phantom{99}64\phantom{99}}\\\phantom{32)99}122\\\phantom{32)}\underline{\phantom{999}96\phantom{9}}\\\phantom{32)999}26\\\end{array}$$

Use the 6^{th} digit 5 from dividend 455625

$$\begin{array}{l}\phantom{32)}01423\phantom{11}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\phantom{32)}\underline{\phantom{99}64\phantom{99}}\\\phantom{32)99}122\\\phantom{32)}\underline{\phantom{999}96\phantom{9}}\\\phantom{32)999}265\\\end{array}$$

Find closest multiple of 32 to 265. We see that 8 \times 32 = 256 is the nearest. Now subtract 256 from 265 to get reminder 9. Add 8 to quotient.

$$\begin{array}{l}\phantom{32)}014238\phantom{12}\\32\overline{)455625}\\\phantom{32)}\underline{\phantom{}32\phantom{9999}}\\\phantom{32)}135\\\phantom{32)}\underline{\phantom{}128\phantom{999}}\\\phantom{32)99}76\\\phantom{32)}\underline{\phantom{99}64\phantom{99}}\\\phantom{32)99}122\\\phantom{32)}\underline{\phantom{999}96\phantom{9}}\\\phantom{32)999}265\\\phantom{32)}\underline{\phantom{999}256\phantom{}}\\\phantom{32)99999}9\\\end{array}$$

Since 9 is less than 32, stop the division. The reminder is 9. The topmost line 014238 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14238.

$$\text{Quotient: }14238 \text{Reminder: }9$$

Factor

$$\frac{3 ^ {6} \cdot 5 ^ {4}}{2 ^ {5}} = 14238\frac{9}{32} = 14238.28125$$