Solve 3000000div1600

$$3000000 \div 1600$$

Evaluate

$$1875$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}\phantom{1}\\1600\overline{)3000000}\\\end{array}$$

Since 3 is less than 1600, use the next digit 0 from dividend 3000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1600)}0\phantom{2}\\1600\overline{)3000000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}0\phantom{3}\\1600\overline{)3000000}\\\end{array}$$

Since 30 is less than 1600, use the next digit 0 from dividend 3000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1600)}00\phantom{4}\\1600\overline{)3000000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}00\phantom{5}\\1600\overline{)3000000}\\\end{array}$$

Since 300 is less than 1600, use the next digit 0 from dividend 3000000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1600)}000\phantom{6}\\1600\overline{)3000000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}000\phantom{7}\\1600\overline{)3000000}\\\end{array}$$

Find closest multiple of 1600 to 3000. We see that 1 \times 1600 = 1600 is the nearest. Now subtract 1600 from 3000 to get reminder 1400. Add 1 to quotient.

$$\begin{array}{l}\phantom{1600)}0001\phantom{8}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}1400\\\end{array}$$

Use the 5^{th} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}0001\phantom{9}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\end{array}$$

Find closest multiple of 1600 to 14000. We see that 8 \times 1600 = 12800 is the nearest. Now subtract 12800 from 14000 to get reminder 1200. Add 8 to quotient.

$$\begin{array}{l}\phantom{1600)}00018\phantom{10}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\phantom{1600)}\underline{\phantom{}12800\phantom{99}}\\\phantom{1600)9}1200\\\end{array}$$

Use the 6^{th} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}00018\phantom{11}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\phantom{1600)}\underline{\phantom{}12800\phantom{99}}\\\phantom{1600)9}12000\\\end{array}$$

Find closest multiple of 1600 to 12000. We see that 7 \times 1600 = 11200 is the nearest. Now subtract 11200 from 12000 to get reminder 800. Add 7 to quotient.

$$\begin{array}{l}\phantom{1600)}000187\phantom{12}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\phantom{1600)}\underline{\phantom{}12800\phantom{99}}\\\phantom{1600)9}12000\\\phantom{1600)}\underline{\phantom{9}11200\phantom{9}}\\\phantom{1600)999}800\\\end{array}$$

Use the 7^{th} digit 0 from dividend 3000000

$$\begin{array}{l}\phantom{1600)}000187\phantom{13}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\phantom{1600)}\underline{\phantom{}12800\phantom{99}}\\\phantom{1600)9}12000\\\phantom{1600)}\underline{\phantom{9}11200\phantom{9}}\\\phantom{1600)999}8000\\\end{array}$$

Find closest multiple of 1600 to 8000. We see that 5 \times 1600 = 8000 is the nearest. Now subtract 8000 from 8000 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{1600)}0001875\phantom{14}\\1600\overline{)3000000}\\\phantom{1600)}\underline{\phantom{}1600\phantom{999}}\\\phantom{1600)}14000\\\phantom{1600)}\underline{\phantom{}12800\phantom{99}}\\\phantom{1600)9}12000\\\phantom{1600)}\underline{\phantom{9}11200\phantom{9}}\\\phantom{1600)999}8000\\\phantom{1600)}\underline{\phantom{999}8000\phantom{}}\\\phantom{1600)9999999}0\\\end{array}$$

Since 0 is less than 1600, stop the division. The reminder is 0. The topmost line 0001875 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1875.

$$\text{Quotient: }1875 \text{Reminder: }0$$

Factor

$$3\times 5^{4}$$