Solve 5675/100

$$\frac { 5675 } { 100 }$$

Evaluate

$$\frac{227}{4}=56.75$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5675

$$\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)5675}\\\end{array}$$

Since 5 is less than 100, use the next digit 6 from dividend 5675 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)5675}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 5675

$$\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)5675}\\\end{array}$$

Since 56 is less than 100, use the next digit 7 from dividend 5675 and add 0 to the quotient

$$\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)5675}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5675

$$\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)5675}\\\end{array}$$

Find closest multiple of 100 to 567. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 567 to get reminder 67. Add 5 to quotient.

$$\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)5675}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}67\\\end{array}$$

Use the 4^{th} digit 5 from dividend 5675

$$\begin{array}{l}\phantom{100)}005\phantom{7}\\100\overline{)5675}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}675\\\end{array}$$

Find closest multiple of 100 to 675. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 675 to get reminder 75. Add 6 to quotient.

$$\begin{array}{l}\phantom{100)}0056\phantom{8}\\100\overline{)5675}\\\phantom{100)}\underline{\phantom{}500\phantom{9}}\\\phantom{100)9}675\\\phantom{100)}\underline{\phantom{9}600\phantom{}}\\\phantom{100)99}75\\\end{array}$$

Since 75 is less than 100, stop the division. The reminder is 75. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }75$$

Factor

$$\frac{227}{2 ^ {2}} = 56\frac{3}{4} = 56.75$$