Solve 20412div162

$$20412 \div 162$$

Evaluate

$$126$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 20412

$$\begin{array}{l}\phantom{162)}\phantom{1}\\162\overline{)20412}\\\end{array}$$

Since 2 is less than 162, use the next digit 0 from dividend 20412 and add 0 to the quotient

$$\begin{array}{l}\phantom{162)}0\phantom{2}\\162\overline{)20412}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 20412

$$\begin{array}{l}\phantom{162)}0\phantom{3}\\162\overline{)20412}\\\end{array}$$

Since 20 is less than 162, use the next digit 4 from dividend 20412 and add 0 to the quotient

$$\begin{array}{l}\phantom{162)}00\phantom{4}\\162\overline{)20412}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 20412

$$\begin{array}{l}\phantom{162)}00\phantom{5}\\162\overline{)20412}\\\end{array}$$

Find closest multiple of 162 to 204. We see that 1 \times 162 = 162 is the nearest. Now subtract 162 from 204 to get reminder 42. Add 1 to quotient.

$$\begin{array}{l}\phantom{162)}001\phantom{6}\\162\overline{)20412}\\\phantom{162)}\underline{\phantom{}162\phantom{99}}\\\phantom{162)9}42\\\end{array}$$

Use the 4^{th} digit 1 from dividend 20412

$$\begin{array}{l}\phantom{162)}001\phantom{7}\\162\overline{)20412}\\\phantom{162)}\underline{\phantom{}162\phantom{99}}\\\phantom{162)9}421\\\end{array}$$

Find closest multiple of 162 to 421. We see that 2 \times 162 = 324 is the nearest. Now subtract 324 from 421 to get reminder 97. Add 2 to quotient.

$$\begin{array}{l}\phantom{162)}0012\phantom{8}\\162\overline{)20412}\\\phantom{162)}\underline{\phantom{}162\phantom{99}}\\\phantom{162)9}421\\\phantom{162)}\underline{\phantom{9}324\phantom{9}}\\\phantom{162)99}97\\\end{array}$$

Use the 5^{th} digit 2 from dividend 20412

$$\begin{array}{l}\phantom{162)}0012\phantom{9}\\162\overline{)20412}\\\phantom{162)}\underline{\phantom{}162\phantom{99}}\\\phantom{162)9}421\\\phantom{162)}\underline{\phantom{9}324\phantom{9}}\\\phantom{162)99}972\\\end{array}$$

Find closest multiple of 162 to 972. We see that 6 \times 162 = 972 is the nearest. Now subtract 972 from 972 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{162)}00126\phantom{10}\\162\overline{)20412}\\\phantom{162)}\underline{\phantom{}162\phantom{99}}\\\phantom{162)9}421\\\phantom{162)}\underline{\phantom{9}324\phantom{9}}\\\phantom{162)99}972\\\phantom{162)}\underline{\phantom{99}972\phantom{}}\\\phantom{162)99999}0\\\end{array}$$

Since 0 is less than 162, stop the division. The reminder is 0. The topmost line 00126 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 126.

$$\text{Quotient: }126 \text{Reminder: }0$$

Factor

$$2\times 3^{2}\times 7$$