Solve 643284div2004

$$643284 \div 2004$$

Evaluate

$$321$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 643284

$$\begin{array}{l}\phantom{2004)}\phantom{1}\\2004\overline{)643284}\\\end{array}$$

Since 6 is less than 2004, use the next digit 4 from dividend 643284 and add 0 to the quotient

$$\begin{array}{l}\phantom{2004)}0\phantom{2}\\2004\overline{)643284}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 643284

$$\begin{array}{l}\phantom{2004)}0\phantom{3}\\2004\overline{)643284}\\\end{array}$$

Since 64 is less than 2004, use the next digit 3 from dividend 643284 and add 0 to the quotient

$$\begin{array}{l}\phantom{2004)}00\phantom{4}\\2004\overline{)643284}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 643284

$$\begin{array}{l}\phantom{2004)}00\phantom{5}\\2004\overline{)643284}\\\end{array}$$

Since 643 is less than 2004, use the next digit 2 from dividend 643284 and add 0 to the quotient

$$\begin{array}{l}\phantom{2004)}000\phantom{6}\\2004\overline{)643284}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 643284

$$\begin{array}{l}\phantom{2004)}000\phantom{7}\\2004\overline{)643284}\\\end{array}$$

Find closest multiple of 2004 to 6432. We see that 3 \times 2004 = 6012 is the nearest. Now subtract 6012 from 6432 to get reminder 420. Add 3 to quotient.

$$\begin{array}{l}\phantom{2004)}0003\phantom{8}\\2004\overline{)643284}\\\phantom{2004)}\underline{\phantom{}6012\phantom{99}}\\\phantom{2004)9}420\\\end{array}$$

Use the 5^{th} digit 8 from dividend 643284

$$\begin{array}{l}\phantom{2004)}0003\phantom{9}\\2004\overline{)643284}\\\phantom{2004)}\underline{\phantom{}6012\phantom{99}}\\\phantom{2004)9}4208\\\end{array}$$

Find closest multiple of 2004 to 4208. We see that 2 \times 2004 = 4008 is the nearest. Now subtract 4008 from 4208 to get reminder 200. Add 2 to quotient.

$$\begin{array}{l}\phantom{2004)}00032\phantom{10}\\2004\overline{)643284}\\\phantom{2004)}\underline{\phantom{}6012\phantom{99}}\\\phantom{2004)9}4208\\\phantom{2004)}\underline{\phantom{9}4008\phantom{9}}\\\phantom{2004)99}200\\\end{array}$$

Use the 6^{th} digit 4 from dividend 643284

$$\begin{array}{l}\phantom{2004)}00032\phantom{11}\\2004\overline{)643284}\\\phantom{2004)}\underline{\phantom{}6012\phantom{99}}\\\phantom{2004)9}4208\\\phantom{2004)}\underline{\phantom{9}4008\phantom{9}}\\\phantom{2004)99}2004\\\end{array}$$

Find closest multiple of 2004 to 2004. We see that 1 \times 2004 = 2004 is the nearest. Now subtract 2004 from 2004 to get reminder 0. Add 1 to quotient.

$$\begin{array}{l}\phantom{2004)}000321\phantom{12}\\2004\overline{)643284}\\\phantom{2004)}\underline{\phantom{}6012\phantom{99}}\\\phantom{2004)9}4208\\\phantom{2004)}\underline{\phantom{9}4008\phantom{9}}\\\phantom{2004)99}2004\\\phantom{2004)}\underline{\phantom{99}2004\phantom{}}\\\phantom{2004)999999}0\\\end{array}$$

Since 0 is less than 2004, stop the division. The reminder is 0. The topmost line 000321 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 321.

$$\text{Quotient: }321 \text{Reminder: }0$$

Factor

$$3\times 107$$