Solve 328000div64

$$328000 \div 64$$

Evaluate

$$5125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 328000

$$\begin{array}{l}\phantom{64)}\phantom{1}\\64\overline{)328000}\\\end{array}$$

Since 3 is less than 64, use the next digit 2 from dividend 328000 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}0\phantom{2}\\64\overline{)328000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 328000

$$\begin{array}{l}\phantom{64)}0\phantom{3}\\64\overline{)328000}\\\end{array}$$

Since 32 is less than 64, use the next digit 8 from dividend 328000 and add 0 to the quotient

$$\begin{array}{l}\phantom{64)}00\phantom{4}\\64\overline{)328000}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 328000

$$\begin{array}{l}\phantom{64)}00\phantom{5}\\64\overline{)328000}\\\end{array}$$

Find closest multiple of 64 to 328. We see that 5 \times 64 = 320 is the nearest. Now subtract 320 from 328 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{64)}005\phantom{6}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}8\\\end{array}$$

Use the 4^{th} digit 0 from dividend 328000

$$\begin{array}{l}\phantom{64)}005\phantom{7}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\end{array}$$

Find closest multiple of 64 to 80. We see that 1 \times 64 = 64 is the nearest. Now subtract 64 from 80 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{64)}0051\phantom{8}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\phantom{64)}\underline{\phantom{99}64\phantom{99}}\\\phantom{64)99}16\\\end{array}$$

Use the 5^{th} digit 0 from dividend 328000

$$\begin{array}{l}\phantom{64)}0051\phantom{9}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\phantom{64)}\underline{\phantom{99}64\phantom{99}}\\\phantom{64)99}160\\\end{array}$$

Find closest multiple of 64 to 160. We see that 2 \times 64 = 128 is the nearest. Now subtract 128 from 160 to get reminder 32. Add 2 to quotient.

$$\begin{array}{l}\phantom{64)}00512\phantom{10}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\phantom{64)}\underline{\phantom{99}64\phantom{99}}\\\phantom{64)99}160\\\phantom{64)}\underline{\phantom{99}128\phantom{9}}\\\phantom{64)999}32\\\end{array}$$

Use the 6^{th} digit 0 from dividend 328000

$$\begin{array}{l}\phantom{64)}00512\phantom{11}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\phantom{64)}\underline{\phantom{99}64\phantom{99}}\\\phantom{64)99}160\\\phantom{64)}\underline{\phantom{99}128\phantom{9}}\\\phantom{64)999}320\\\end{array}$$

Find closest multiple of 64 to 320. We see that 5 \times 64 = 320 is the nearest. Now subtract 320 from 320 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{64)}005125\phantom{12}\\64\overline{)328000}\\\phantom{64)}\underline{\phantom{}320\phantom{999}}\\\phantom{64)99}80\\\phantom{64)}\underline{\phantom{99}64\phantom{99}}\\\phantom{64)99}160\\\phantom{64)}\underline{\phantom{99}128\phantom{9}}\\\phantom{64)999}320\\\phantom{64)}\underline{\phantom{999}320\phantom{}}\\\phantom{64)999999}0\\\end{array}$$

Since 0 is less than 64, stop the division. The reminder is 0. The topmost line 005125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5125.

$$\text{Quotient: }5125 \text{Reminder: }0$$

Factor

$$5^{3}\times 41$$