Solve 111/56

$$\frac{ 111 }{ 56 }$$

Evaluate

$$\frac{111}{56}\approx 1.982142857$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 111

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)111}\\\end{array}$$

Since 1 is less than 56, use the next digit 1 from dividend 111 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)111}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 111

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)111}\\\end{array}$$

Since 11 is less than 56, use the next digit 1 from dividend 111 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)111}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 111

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)111}\\\end{array}$$

Find closest multiple of 56 to 111. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 111 to get reminder 55. Add 1 to quotient.

$$\begin{array}{l}\phantom{56)}001\phantom{6}\\56\overline{)111}\\\phantom{56)}\underline{\phantom{9}56\phantom{}}\\\phantom{56)9}55\\\end{array}$$

Since 55 is less than 56, stop the division. The reminder is 55. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }55$$

Factor

$$\frac{3 \cdot 37}{2 ^ {3} \cdot 7} = 1\frac{55}{56} = 1.9821428571428572$$