Solve 9560div666

$$9560 \div 666$$

Evaluate

$$\frac{4780}{333}\approx 14.354354354$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9560

$$\begin{array}{l}\phantom{666)}\phantom{1}\\666\overline{)9560}\\\end{array}$$

Since 9 is less than 666, use the next digit 5 from dividend 9560 and add 0 to the quotient

$$\begin{array}{l}\phantom{666)}0\phantom{2}\\666\overline{)9560}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 9560

$$\begin{array}{l}\phantom{666)}0\phantom{3}\\666\overline{)9560}\\\end{array}$$

Since 95 is less than 666, use the next digit 6 from dividend 9560 and add 0 to the quotient

$$\begin{array}{l}\phantom{666)}00\phantom{4}\\666\overline{)9560}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 9560

$$\begin{array}{l}\phantom{666)}00\phantom{5}\\666\overline{)9560}\\\end{array}$$

Find closest multiple of 666 to 956. We see that 1 \times 666 = 666 is the nearest. Now subtract 666 from 956 to get reminder 290. Add 1 to quotient.

$$\begin{array}{l}\phantom{666)}001\phantom{6}\\666\overline{)9560}\\\phantom{666)}\underline{\phantom{}666\phantom{9}}\\\phantom{666)}290\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9560

$$\begin{array}{l}\phantom{666)}001\phantom{7}\\666\overline{)9560}\\\phantom{666)}\underline{\phantom{}666\phantom{9}}\\\phantom{666)}2900\\\end{array}$$

Find closest multiple of 666 to 2900. We see that 4 \times 666 = 2664 is the nearest. Now subtract 2664 from 2900 to get reminder 236. Add 4 to quotient.

$$\begin{array}{l}\phantom{666)}0014\phantom{8}\\666\overline{)9560}\\\phantom{666)}\underline{\phantom{}666\phantom{9}}\\\phantom{666)}2900\\\phantom{666)}\underline{\phantom{}2664\phantom{}}\\\phantom{666)9}236\\\end{array}$$

Since 236 is less than 666, stop the division. The reminder is 236. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }236$$

Factor

$$\frac{2 ^ {2} \cdot 5 \cdot 239}{3 ^ {2} \cdot 37} = 14\frac{118}{333} = 14.354354354354355$$