Solve 27006div42

$$27006 \div 42$$

Evaluate

$$643$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 27006

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)27006}\\\end{array}$$

Since 2 is less than 42, use the next digit 7 from dividend 27006 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)27006}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 27006

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)27006}\\\end{array}$$

Since 27 is less than 42, use the next digit 0 from dividend 27006 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)27006}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 27006

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)27006}\\\end{array}$$

Find closest multiple of 42 to 270. We see that 6 \times 42 = 252 is the nearest. Now subtract 252 from 270 to get reminder 18. Add 6 to quotient.

$$\begin{array}{l}\phantom{42)}006\phantom{6}\\42\overline{)27006}\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 27006

$$\begin{array}{l}\phantom{42)}006\phantom{7}\\42\overline{)27006}\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)9}180\\\end{array}$$

Find closest multiple of 42 to 180. We see that 4 \times 42 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{42)}0064\phantom{8}\\42\overline{)27006}\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)9}180\\\phantom{42)}\underline{\phantom{9}168\phantom{9}}\\\phantom{42)99}12\\\end{array}$$

Use the 5^{th} digit 6 from dividend 27006

$$\begin{array}{l}\phantom{42)}0064\phantom{9}\\42\overline{)27006}\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)9}180\\\phantom{42)}\underline{\phantom{9}168\phantom{9}}\\\phantom{42)99}126\\\end{array}$$

Find closest multiple of 42 to 126. We see that 3 \times 42 = 126 is the nearest. Now subtract 126 from 126 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{42)}00643\phantom{10}\\42\overline{)27006}\\\phantom{42)}\underline{\phantom{}252\phantom{99}}\\\phantom{42)9}180\\\phantom{42)}\underline{\phantom{9}168\phantom{9}}\\\phantom{42)99}126\\\phantom{42)}\underline{\phantom{99}126\phantom{}}\\\phantom{42)99999}0\\\end{array}$$

Since 0 is less than 42, stop the division. The reminder is 0. The topmost line 00643 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 643.

$$\text{Quotient: }643 \text{Reminder: }0$$

Factor

$$643$$