Solve 3640div476

$$3640 \div 476$$

Evaluate

$$\frac{130}{17}\approx 7.647058824$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3640

$$\begin{array}{l}\phantom{476)}\phantom{1}\\476\overline{)3640}\\\end{array}$$

Since 3 is less than 476, use the next digit 6 from dividend 3640 and add 0 to the quotient

$$\begin{array}{l}\phantom{476)}0\phantom{2}\\476\overline{)3640}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3640

$$\begin{array}{l}\phantom{476)}0\phantom{3}\\476\overline{)3640}\\\end{array}$$

Since 36 is less than 476, use the next digit 4 from dividend 3640 and add 0 to the quotient

$$\begin{array}{l}\phantom{476)}00\phantom{4}\\476\overline{)3640}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3640

$$\begin{array}{l}\phantom{476)}00\phantom{5}\\476\overline{)3640}\\\end{array}$$

Since 364 is less than 476, use the next digit 0 from dividend 3640 and add 0 to the quotient

$$\begin{array}{l}\phantom{476)}000\phantom{6}\\476\overline{)3640}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3640

$$\begin{array}{l}\phantom{476)}000\phantom{7}\\476\overline{)3640}\\\end{array}$$

Find closest multiple of 476 to 3640. We see that 7 \times 476 = 3332 is the nearest. Now subtract 3332 from 3640 to get reminder 308. Add 7 to quotient.

$$\begin{array}{l}\phantom{476)}0007\phantom{8}\\476\overline{)3640}\\\phantom{476)}\underline{\phantom{}3332\phantom{}}\\\phantom{476)9}308\\\end{array}$$

Since 308 is less than 476, stop the division. The reminder is 308. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }308$$

Factor

$$\frac{2 \cdot 5 \cdot 13}{17} = 7\frac{11}{17} = 7.647058823529412$$