Solve 1000000div288

$$1000000 \div 288$$

Evaluate

$$\frac{31250}{9}\approx 3472.222222222$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000000

$$\begin{array}{l}\phantom{288)}\phantom{1}\\288\overline{)1000000}\\\end{array}$$

Since 1 is less than 288, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{288)}0\phantom{2}\\288\overline{)1000000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}0\phantom{3}\\288\overline{)1000000}\\\end{array}$$

Since 10 is less than 288, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{288)}00\phantom{4}\\288\overline{)1000000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}00\phantom{5}\\288\overline{)1000000}\\\end{array}$$

Since 100 is less than 288, use the next digit 0 from dividend 1000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{288)}000\phantom{6}\\288\overline{)1000000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}000\phantom{7}\\288\overline{)1000000}\\\end{array}$$

Find closest multiple of 288 to 1000. We see that 3 \times 288 = 864 is the nearest. Now subtract 864 from 1000 to get reminder 136. Add 3 to quotient.

$$\begin{array}{l}\phantom{288)}0003\phantom{8}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}136\\\end{array}$$

Use the 5^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}0003\phantom{9}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\end{array}$$

Find closest multiple of 288 to 1360. We see that 4 \times 288 = 1152 is the nearest. Now subtract 1152 from 1360 to get reminder 208. Add 4 to quotient.

$$\begin{array}{l}\phantom{288)}00034\phantom{10}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\phantom{288)}\underline{\phantom{9}1152\phantom{99}}\\\phantom{288)99}208\\\end{array}$$

Use the 6^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}00034\phantom{11}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\phantom{288)}\underline{\phantom{9}1152\phantom{99}}\\\phantom{288)99}2080\\\end{array}$$

Find closest multiple of 288 to 2080. We see that 7 \times 288 = 2016 is the nearest. Now subtract 2016 from 2080 to get reminder 64. Add 7 to quotient.

$$\begin{array}{l}\phantom{288)}000347\phantom{12}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\phantom{288)}\underline{\phantom{9}1152\phantom{99}}\\\phantom{288)99}2080\\\phantom{288)}\underline{\phantom{99}2016\phantom{9}}\\\phantom{288)9999}64\\\end{array}$$

Use the 7^{th} digit 0 from dividend 1000000

$$\begin{array}{l}\phantom{288)}000347\phantom{13}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\phantom{288)}\underline{\phantom{9}1152\phantom{99}}\\\phantom{288)99}2080\\\phantom{288)}\underline{\phantom{99}2016\phantom{9}}\\\phantom{288)9999}640\\\end{array}$$

Find closest multiple of 288 to 640. We see that 2 \times 288 = 576 is the nearest. Now subtract 576 from 640 to get reminder 64. Add 2 to quotient.

$$\begin{array}{l}\phantom{288)}0003472\phantom{14}\\288\overline{)1000000}\\\phantom{288)}\underline{\phantom{9}864\phantom{999}}\\\phantom{288)9}1360\\\phantom{288)}\underline{\phantom{9}1152\phantom{99}}\\\phantom{288)99}2080\\\phantom{288)}\underline{\phantom{99}2016\phantom{9}}\\\phantom{288)9999}640\\\phantom{288)}\underline{\phantom{9999}576\phantom{}}\\\phantom{288)99999}64\\\end{array}$$

Since 64 is less than 288, stop the division. The reminder is 64. The topmost line 0003472 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3472.

$$\text{Quotient: }3472 \text{Reminder: }64$$

Factor

$$\frac{2 \cdot 5 ^ {6}}{3 ^ {2}} = 3472\frac{2}{9} = 3472.222222222222$$