Solve 3977/1024

$$\frac { 3977 } { 1024 }$$

Evaluate

$$\frac{3977}{1024}=3.883789062$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3977

$$\begin{array}{l}\phantom{1024)}\phantom{1}\\1024\overline{)3977}\\\end{array}$$

Since 3 is less than 1024, use the next digit 9 from dividend 3977 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}0\phantom{2}\\1024\overline{)3977}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3977

$$\begin{array}{l}\phantom{1024)}0\phantom{3}\\1024\overline{)3977}\\\end{array}$$

Since 39 is less than 1024, use the next digit 7 from dividend 3977 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}00\phantom{4}\\1024\overline{)3977}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3977

$$\begin{array}{l}\phantom{1024)}00\phantom{5}\\1024\overline{)3977}\\\end{array}$$

Since 397 is less than 1024, use the next digit 7 from dividend 3977 and add 0 to the quotient

$$\begin{array}{l}\phantom{1024)}000\phantom{6}\\1024\overline{)3977}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3977

$$\begin{array}{l}\phantom{1024)}000\phantom{7}\\1024\overline{)3977}\\\end{array}$$

Find closest multiple of 1024 to 3977. We see that 3 \times 1024 = 3072 is the nearest. Now subtract 3072 from 3977 to get reminder 905. Add 3 to quotient.

$$\begin{array}{l}\phantom{1024)}0003\phantom{8}\\1024\overline{)3977}\\\phantom{1024)}\underline{\phantom{}3072\phantom{}}\\\phantom{1024)9}905\\\end{array}$$

Since 905 is less than 1024, stop the division. The reminder is 905. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }905$$

Factor

$$\frac{41 \cdot 97}{2 ^ {10}} = 3\frac{905}{1024} = 3.8837890625$$