Solve 6225div211

$$6225 \div 211$$

Evaluate

$$\frac{6225}{211}\approx 29.502369668$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6225

$$\begin{array}{l}\phantom{211)}\phantom{1}\\211\overline{)6225}\\\end{array}$$

Since 6 is less than 211, use the next digit 2 from dividend 6225 and add 0 to the quotient

$$\begin{array}{l}\phantom{211)}0\phantom{2}\\211\overline{)6225}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 6225

$$\begin{array}{l}\phantom{211)}0\phantom{3}\\211\overline{)6225}\\\end{array}$$

Since 62 is less than 211, use the next digit 2 from dividend 6225 and add 0 to the quotient

$$\begin{array}{l}\phantom{211)}00\phantom{4}\\211\overline{)6225}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 6225

$$\begin{array}{l}\phantom{211)}00\phantom{5}\\211\overline{)6225}\\\end{array}$$

Find closest multiple of 211 to 622. We see that 2 \times 211 = 422 is the nearest. Now subtract 422 from 622 to get reminder 200. Add 2 to quotient.

$$\begin{array}{l}\phantom{211)}002\phantom{6}\\211\overline{)6225}\\\phantom{211)}\underline{\phantom{}422\phantom{9}}\\\phantom{211)}200\\\end{array}$$

Use the 4^{th} digit 5 from dividend 6225

$$\begin{array}{l}\phantom{211)}002\phantom{7}\\211\overline{)6225}\\\phantom{211)}\underline{\phantom{}422\phantom{9}}\\\phantom{211)}2005\\\end{array}$$

Find closest multiple of 211 to 2005. We see that 9 \times 211 = 1899 is the nearest. Now subtract 1899 from 2005 to get reminder 106. Add 9 to quotient.

$$\begin{array}{l}\phantom{211)}0029\phantom{8}\\211\overline{)6225}\\\phantom{211)}\underline{\phantom{}422\phantom{9}}\\\phantom{211)}2005\\\phantom{211)}\underline{\phantom{}1899\phantom{}}\\\phantom{211)9}106\\\end{array}$$

Since 106 is less than 211, stop the division. The reminder is 106. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }106$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 83}{211} = 29\frac{106}{211} = 29.502369668246445$$