Solve 521div153

$$521 \div 153$$

Evaluate

$$\frac{521}{153}\approx 3.405228758$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 521

$$\begin{array}{l}\phantom{153)}\phantom{1}\\153\overline{)521}\\\end{array}$$

Since 5 is less than 153, use the next digit 2 from dividend 521 and add 0 to the quotient

$$\begin{array}{l}\phantom{153)}0\phantom{2}\\153\overline{)521}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 521

$$\begin{array}{l}\phantom{153)}0\phantom{3}\\153\overline{)521}\\\end{array}$$

Since 52 is less than 153, use the next digit 1 from dividend 521 and add 0 to the quotient

$$\begin{array}{l}\phantom{153)}00\phantom{4}\\153\overline{)521}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 521

$$\begin{array}{l}\phantom{153)}00\phantom{5}\\153\overline{)521}\\\end{array}$$

Find closest multiple of 153 to 521. We see that 3 \times 153 = 459 is the nearest. Now subtract 459 from 521 to get reminder 62. Add 3 to quotient.

$$\begin{array}{l}\phantom{153)}003\phantom{6}\\153\overline{)521}\\\phantom{153)}\underline{\phantom{}459\phantom{}}\\\phantom{153)9}62\\\end{array}$$

Since 62 is less than 153, stop the division. The reminder is 62. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }62$$

Factor

$$\frac{521}{3 ^ {2} \cdot 17} = 3\frac{62}{153} = 3.4052287581699345$$