Solve 527div34

$$527 \div 34$$

Evaluate

$$\frac{31}{2}=15.5$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 527

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)527}\\\end{array}$$

Since 5 is less than 34, use the next digit 2 from dividend 527 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)527}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 527

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)527}\\\end{array}$$

Find closest multiple of 34 to 52. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 52 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)527}\\\phantom{34)}\underline{\phantom{}34\phantom{9}}\\\phantom{34)}18\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 527

$$\begin{array}{l}\phantom{34)}01\phantom{5}\\34\overline{)527}\\\phantom{34)}\underline{\phantom{}34\phantom{9}}\\\phantom{34)}187\\\end{array}$$

Find closest multiple of 34 to 187. We see that 5 \times 34 = 170 is the nearest. Now subtract 170 from 187 to get reminder 17. Add 5 to quotient.

$$\begin{array}{l}\phantom{34)}015\phantom{6}\\34\overline{)527}\\\phantom{34)}\underline{\phantom{}34\phantom{9}}\\\phantom{34)}187\\\phantom{34)}\underline{\phantom{}170\phantom{}}\\\phantom{34)9}17\\\end{array}$$

Since 17 is less than 34, stop the division. The reminder is 17. The topmost line 015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }17$$

Factor

$$\frac{31}{2} = 15\frac{1}{2} = 15.5$$