Solve 9180:64

$$9180 : 64$$

Evaluate

$$\frac{2295}{16}=143.4375$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9180

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)9180}\\\end{array}$$

Since 9 is less than 64, use the next digit 1 from dividend 9180 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)9180}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 9180

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)9180}\\\end{array}$$

Find closest multiple of 64 to 91. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 91 to get reminder 27. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}01\phantom{4}\\64\overline{)9180}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)}27\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 9180

$$\begin{array}{l}\phantom{64)}01\phantom{5}\\64\overline{)9180}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)}278\\\end{array}$$

Find closest multiple of 64 to 278. We see that 4 \times 64 = 256 is the nearest. Now subtract 256 from 278 to get reminder 22. Add 4 to quotient.

$$\begin{array}{l}\phantom{64)}014\phantom{6}\\64\overline{)9180}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)}278\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}22\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9180

$$\begin{array}{l}\phantom{64)}014\phantom{7}\\64\overline{)9180}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)}278\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}220\\\end{array}$$

Find closest multiple of 64 to 220. We see that 3 \times 64 = 192 is the nearest. Now subtract 192 from 220 to get reminder 28. Add 3 to quotient.

$$\begin{array}{l}\phantom{64)}0143\phantom{8}\\64\overline{)9180}\\\phantom{64)}\underline{\phantom{}64\phantom{99}}\\\phantom{64)}278\\\phantom{64)}\underline{\phantom{}256\phantom{9}}\\\phantom{64)9}220\\\phantom{64)}\underline{\phantom{9}192\phantom{}}\\\phantom{64)99}28\\\end{array}$$

Since 28 is less than 64, stop the division. The reminder is 28. The topmost line 0143 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 143.

$$\text{Quotient: }143 \text{Reminder: }28$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 17}{2 ^ {4}} = 143\frac{7}{16} = 143.4375$$