Solve 971/172

$$\frac{ 971 }{ 172 }$$

Evaluate

$$\frac{971}{172}\approx 5.645348837$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 971

$$\begin{array}{l}\phantom{172)}\phantom{1}\\172\overline{)971}\\\end{array}$$

Since 9 is less than 172, use the next digit 7 from dividend 971 and add 0 to the quotient

$$\begin{array}{l}\phantom{172)}0\phantom{2}\\172\overline{)971}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 971

$$\begin{array}{l}\phantom{172)}0\phantom{3}\\172\overline{)971}\\\end{array}$$

Since 97 is less than 172, use the next digit 1 from dividend 971 and add 0 to the quotient

$$\begin{array}{l}\phantom{172)}00\phantom{4}\\172\overline{)971}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 971

$$\begin{array}{l}\phantom{172)}00\phantom{5}\\172\overline{)971}\\\end{array}$$

Find closest multiple of 172 to 971. We see that 5 \times 172 = 860 is the nearest. Now subtract 860 from 971 to get reminder 111. Add 5 to quotient.

$$\begin{array}{l}\phantom{172)}005\phantom{6}\\172\overline{)971}\\\phantom{172)}\underline{\phantom{}860\phantom{}}\\\phantom{172)}111\\\end{array}$$

Since 111 is less than 172, stop the division. The reminder is 111. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }111$$

Factor

$$\frac{971}{2 ^ {2} \cdot 43} = 5\frac{111}{172} = 5.645348837209302$$