Solve 1770div102

$$1770 \div 102$$

Evaluate

$$\frac{295}{17}\approx 17.352941176$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1770

$$\begin{array}{l}\phantom{102)}\phantom{1}\\102\overline{)1770}\\\end{array}$$

Since 1 is less than 102, use the next digit 7 from dividend 1770 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}0\phantom{2}\\102\overline{)1770}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1770

$$\begin{array}{l}\phantom{102)}0\phantom{3}\\102\overline{)1770}\\\end{array}$$

Since 17 is less than 102, use the next digit 7 from dividend 1770 and add 0 to the quotient

$$\begin{array}{l}\phantom{102)}00\phantom{4}\\102\overline{)1770}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1770

$$\begin{array}{l}\phantom{102)}00\phantom{5}\\102\overline{)1770}\\\end{array}$$

Find closest multiple of 102 to 177. We see that 1 \times 102 = 102 is the nearest. Now subtract 102 from 177 to get reminder 75. Add 1 to quotient.

$$\begin{array}{l}\phantom{102)}001\phantom{6}\\102\overline{)1770}\\\phantom{102)}\underline{\phantom{}102\phantom{9}}\\\phantom{102)9}75\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1770

$$\begin{array}{l}\phantom{102)}001\phantom{7}\\102\overline{)1770}\\\phantom{102)}\underline{\phantom{}102\phantom{9}}\\\phantom{102)9}750\\\end{array}$$

Find closest multiple of 102 to 750. We see that 7 \times 102 = 714 is the nearest. Now subtract 714 from 750 to get reminder 36. Add 7 to quotient.

$$\begin{array}{l}\phantom{102)}0017\phantom{8}\\102\overline{)1770}\\\phantom{102)}\underline{\phantom{}102\phantom{9}}\\\phantom{102)9}750\\\phantom{102)}\underline{\phantom{9}714\phantom{}}\\\phantom{102)99}36\\\end{array}$$

Since 36 is less than 102, stop the division. The reminder is 36. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }36$$

Factor

$$\frac{5 \cdot 59}{17} = 17\frac{6}{17} = 17.352941176470587$$