Solve 53289div212

$$53289 \div 212$$

Evaluate

$$\frac{53289}{212}\approx 251.363207547$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 53289

$$\begin{array}{l}\phantom{212)}\phantom{1}\\212\overline{)53289}\\\end{array}$$

Since 5 is less than 212, use the next digit 3 from dividend 53289 and add 0 to the quotient

$$\begin{array}{l}\phantom{212)}0\phantom{2}\\212\overline{)53289}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 53289

$$\begin{array}{l}\phantom{212)}0\phantom{3}\\212\overline{)53289}\\\end{array}$$

Since 53 is less than 212, use the next digit 2 from dividend 53289 and add 0 to the quotient

$$\begin{array}{l}\phantom{212)}00\phantom{4}\\212\overline{)53289}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 53289

$$\begin{array}{l}\phantom{212)}00\phantom{5}\\212\overline{)53289}\\\end{array}$$

Find closest multiple of 212 to 532. We see that 2 \times 212 = 424 is the nearest. Now subtract 424 from 532 to get reminder 108. Add 2 to quotient.

$$\begin{array}{l}\phantom{212)}002\phantom{6}\\212\overline{)53289}\\\phantom{212)}\underline{\phantom{}424\phantom{99}}\\\phantom{212)}108\\\end{array}$$

Use the 4^{th} digit 8 from dividend 53289

$$\begin{array}{l}\phantom{212)}002\phantom{7}\\212\overline{)53289}\\\phantom{212)}\underline{\phantom{}424\phantom{99}}\\\phantom{212)}1088\\\end{array}$$

Find closest multiple of 212 to 1088. We see that 5 \times 212 = 1060 is the nearest. Now subtract 1060 from 1088 to get reminder 28. Add 5 to quotient.

$$\begin{array}{l}\phantom{212)}0025\phantom{8}\\212\overline{)53289}\\\phantom{212)}\underline{\phantom{}424\phantom{99}}\\\phantom{212)}1088\\\phantom{212)}\underline{\phantom{}1060\phantom{9}}\\\phantom{212)99}28\\\end{array}$$

Use the 5^{th} digit 9 from dividend 53289

$$\begin{array}{l}\phantom{212)}0025\phantom{9}\\212\overline{)53289}\\\phantom{212)}\underline{\phantom{}424\phantom{99}}\\\phantom{212)}1088\\\phantom{212)}\underline{\phantom{}1060\phantom{9}}\\\phantom{212)99}289\\\end{array}$$

Find closest multiple of 212 to 289. We see that 1 \times 212 = 212 is the nearest. Now subtract 212 from 289 to get reminder 77. Add 1 to quotient.

$$\begin{array}{l}\phantom{212)}00251\phantom{10}\\212\overline{)53289}\\\phantom{212)}\underline{\phantom{}424\phantom{99}}\\\phantom{212)}1088\\\phantom{212)}\underline{\phantom{}1060\phantom{9}}\\\phantom{212)99}289\\\phantom{212)}\underline{\phantom{99}212\phantom{}}\\\phantom{212)999}77\\\end{array}$$

Since 77 is less than 212, stop the division. The reminder is 77. The topmost line 00251 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 251.

$$\text{Quotient: }251 \text{Reminder: }77$$

Factor

$$\frac{3 ^ {2} \cdot 31 \cdot 191}{2 ^ {2} \cdot 53} = 251\frac{77}{212} = 251.36320754716982$$