Solve 785/45

$$\frac{ 785 }{ 45 }$$

Evaluate

$$\frac{157}{9}\approx 17.444444444$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 785

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)785}\\\end{array}$$

Since 7 is less than 45, use the next digit 8 from dividend 785 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)785}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 785

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)785}\\\end{array}$$

Find closest multiple of 45 to 78. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 78 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}01\phantom{4}\\45\overline{)785}\\\phantom{45)}\underline{\phantom{}45\phantom{9}}\\\phantom{45)}33\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 785

$$\begin{array}{l}\phantom{45)}01\phantom{5}\\45\overline{)785}\\\phantom{45)}\underline{\phantom{}45\phantom{9}}\\\phantom{45)}335\\\end{array}$$

Find closest multiple of 45 to 335. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 335 to get reminder 20. Add 7 to quotient.

$$\begin{array}{l}\phantom{45)}017\phantom{6}\\45\overline{)785}\\\phantom{45)}\underline{\phantom{}45\phantom{9}}\\\phantom{45)}335\\\phantom{45)}\underline{\phantom{}315\phantom{}}\\\phantom{45)9}20\\\end{array}$$

Since 20 is less than 45, stop the division. The reminder is 20. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }20$$

Factor

$$\frac{157}{3 ^ {2}} = 17\frac{4}{9} = 17.444444444444443$$