Solve 3186div266

$$3186 \div 266$$

Evaluate

$$\frac{1593}{133}\approx 11.977443609$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3186

$$\begin{array}{l}\phantom{266)}\phantom{1}\\266\overline{)3186}\\\end{array}$$

Since 3 is less than 266, use the next digit 1 from dividend 3186 and add 0 to the quotient

$$\begin{array}{l}\phantom{266)}0\phantom{2}\\266\overline{)3186}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 3186

$$\begin{array}{l}\phantom{266)}0\phantom{3}\\266\overline{)3186}\\\end{array}$$

Since 31 is less than 266, use the next digit 8 from dividend 3186 and add 0 to the quotient

$$\begin{array}{l}\phantom{266)}00\phantom{4}\\266\overline{)3186}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3186

$$\begin{array}{l}\phantom{266)}00\phantom{5}\\266\overline{)3186}\\\end{array}$$

Find closest multiple of 266 to 318. We see that 1 \times 266 = 266 is the nearest. Now subtract 266 from 318 to get reminder 52. Add 1 to quotient.

$$\begin{array}{l}\phantom{266)}001\phantom{6}\\266\overline{)3186}\\\phantom{266)}\underline{\phantom{}266\phantom{9}}\\\phantom{266)9}52\\\end{array}$$

Use the 4^{th} digit 6 from dividend 3186

$$\begin{array}{l}\phantom{266)}001\phantom{7}\\266\overline{)3186}\\\phantom{266)}\underline{\phantom{}266\phantom{9}}\\\phantom{266)9}526\\\end{array}$$

Find closest multiple of 266 to 526. We see that 1 \times 266 = 266 is the nearest. Now subtract 266 from 526 to get reminder 260. Add 1 to quotient.

$$\begin{array}{l}\phantom{266)}0011\phantom{8}\\266\overline{)3186}\\\phantom{266)}\underline{\phantom{}266\phantom{9}}\\\phantom{266)9}526\\\phantom{266)}\underline{\phantom{9}266\phantom{}}\\\phantom{266)9}260\\\end{array}$$

Since 260 is less than 266, stop the division. The reminder is 260. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }260$$

Factor

$$\frac{3 ^ {3} \cdot 59}{7 \cdot 19} = 11\frac{130}{133} = 11.977443609022556$$