Solve 320000div1152

$$320000 \div 1152$$

Evaluate

$$\frac{2500}{9}\approx 277.777777778$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 320000

$$\begin{array}{l}\phantom{1152)}\phantom{1}\\1152\overline{)320000}\\\end{array}$$

Since 3 is less than 1152, use the next digit 2 from dividend 320000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1152)}0\phantom{2}\\1152\overline{)320000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 320000

$$\begin{array}{l}\phantom{1152)}0\phantom{3}\\1152\overline{)320000}\\\end{array}$$

Since 32 is less than 1152, use the next digit 0 from dividend 320000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1152)}00\phantom{4}\\1152\overline{)320000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 320000

$$\begin{array}{l}\phantom{1152)}00\phantom{5}\\1152\overline{)320000}\\\end{array}$$

Since 320 is less than 1152, use the next digit 0 from dividend 320000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1152)}000\phantom{6}\\1152\overline{)320000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 320000

$$\begin{array}{l}\phantom{1152)}000\phantom{7}\\1152\overline{)320000}\\\end{array}$$

Find closest multiple of 1152 to 3200. We see that 2 \times 1152 = 2304 is the nearest. Now subtract 2304 from 3200 to get reminder 896. Add 2 to quotient.

$$\begin{array}{l}\phantom{1152)}0002\phantom{8}\\1152\overline{)320000}\\\phantom{1152)}\underline{\phantom{}2304\phantom{99}}\\\phantom{1152)9}896\\\end{array}$$

Use the 5^{th} digit 0 from dividend 320000

$$\begin{array}{l}\phantom{1152)}0002\phantom{9}\\1152\overline{)320000}\\\phantom{1152)}\underline{\phantom{}2304\phantom{99}}\\\phantom{1152)9}8960\\\end{array}$$

Find closest multiple of 1152 to 8960. We see that 7 \times 1152 = 8064 is the nearest. Now subtract 8064 from 8960 to get reminder 896. Add 7 to quotient.

$$\begin{array}{l}\phantom{1152)}00027\phantom{10}\\1152\overline{)320000}\\\phantom{1152)}\underline{\phantom{}2304\phantom{99}}\\\phantom{1152)9}8960\\\phantom{1152)}\underline{\phantom{9}8064\phantom{9}}\\\phantom{1152)99}896\\\end{array}$$

Use the 6^{th} digit 0 from dividend 320000

$$\begin{array}{l}\phantom{1152)}00027\phantom{11}\\1152\overline{)320000}\\\phantom{1152)}\underline{\phantom{}2304\phantom{99}}\\\phantom{1152)9}8960\\\phantom{1152)}\underline{\phantom{9}8064\phantom{9}}\\\phantom{1152)99}8960\\\end{array}$$

Find closest multiple of 1152 to 8960. We see that 7 \times 1152 = 8064 is the nearest. Now subtract 8064 from 8960 to get reminder 896. Add 7 to quotient.

$$\begin{array}{l}\phantom{1152)}000277\phantom{12}\\1152\overline{)320000}\\\phantom{1152)}\underline{\phantom{}2304\phantom{99}}\\\phantom{1152)9}8960\\\phantom{1152)}\underline{\phantom{9}8064\phantom{9}}\\\phantom{1152)99}8960\\\phantom{1152)}\underline{\phantom{99}8064\phantom{}}\\\phantom{1152)999}896\\\end{array}$$

Since 896 is less than 1152, stop the division. The reminder is 896. The topmost line 000277 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 277.

$$\text{Quotient: }277 \text{Reminder: }896$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4}}{3 ^ {2}} = 277\frac{7}{9} = 277.77777777777777$$