Solve 16975div315

$$16975 \div 315$$

Evaluate

$$\frac{485}{9}\approx 53.888888889$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16975

$$\begin{array}{l}\phantom{315)}\phantom{1}\\315\overline{)16975}\\\end{array}$$

Since 1 is less than 315, use the next digit 6 from dividend 16975 and add 0 to the quotient

$$\begin{array}{l}\phantom{315)}0\phantom{2}\\315\overline{)16975}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16975

$$\begin{array}{l}\phantom{315)}0\phantom{3}\\315\overline{)16975}\\\end{array}$$

Since 16 is less than 315, use the next digit 9 from dividend 16975 and add 0 to the quotient

$$\begin{array}{l}\phantom{315)}00\phantom{4}\\315\overline{)16975}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 16975

$$\begin{array}{l}\phantom{315)}00\phantom{5}\\315\overline{)16975}\\\end{array}$$

Since 169 is less than 315, use the next digit 7 from dividend 16975 and add 0 to the quotient

$$\begin{array}{l}\phantom{315)}000\phantom{6}\\315\overline{)16975}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 16975

$$\begin{array}{l}\phantom{315)}000\phantom{7}\\315\overline{)16975}\\\end{array}$$

Find closest multiple of 315 to 1697. We see that 5 \times 315 = 1575 is the nearest. Now subtract 1575 from 1697 to get reminder 122. Add 5 to quotient.

$$\begin{array}{l}\phantom{315)}0005\phantom{8}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}122\\\end{array}$$

Use the 5^{th} digit 5 from dividend 16975

$$\begin{array}{l}\phantom{315)}0005\phantom{9}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}1225\\\end{array}$$

Find closest multiple of 315 to 1225. We see that 3 \times 315 = 945 is the nearest. Now subtract 945 from 1225 to get reminder 280. Add 3 to quotient.

$$\begin{array}{l}\phantom{315)}00053\phantom{10}\\315\overline{)16975}\\\phantom{315)}\underline{\phantom{}1575\phantom{9}}\\\phantom{315)9}1225\\\phantom{315)}\underline{\phantom{99}945\phantom{}}\\\phantom{315)99}280\\\end{array}$$

Since 280 is less than 315, stop the division. The reminder is 280. The topmost line 00053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }280$$

Factor

$$\frac{5 \cdot 97}{3 ^ {2}} = 53\frac{8}{9} = 53.888888888888886$$