Solve 350525:400

$$350525 : 400$$

Evaluate

$$\frac{14021}{16}=876.3125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 350525

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)350525}\\\end{array}$$

Since 3 is less than 400, use the next digit 5 from dividend 350525 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)350525}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 350525

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)350525}\\\end{array}$$

Since 35 is less than 400, use the next digit 0 from dividend 350525 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)350525}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 350525

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)350525}\\\end{array}$$

Since 350 is less than 400, use the next digit 5 from dividend 350525 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}000\phantom{6}\\400\overline{)350525}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 350525

$$\begin{array}{l}\phantom{400)}000\phantom{7}\\400\overline{)350525}\\\end{array}$$

Find closest multiple of 400 to 3505. We see that 8 \times 400 = 3200 is the nearest. Now subtract 3200 from 3505 to get reminder 305. Add 8 to quotient.

$$\begin{array}{l}\phantom{400)}0008\phantom{8}\\400\overline{)350525}\\\phantom{400)}\underline{\phantom{}3200\phantom{99}}\\\phantom{400)9}305\\\end{array}$$

Use the 5^{th} digit 2 from dividend 350525

$$\begin{array}{l}\phantom{400)}0008\phantom{9}\\400\overline{)350525}\\\phantom{400)}\underline{\phantom{}3200\phantom{99}}\\\phantom{400)9}3052\\\end{array}$$

Find closest multiple of 400 to 3052. We see that 7 \times 400 = 2800 is the nearest. Now subtract 2800 from 3052 to get reminder 252. Add 7 to quotient.

$$\begin{array}{l}\phantom{400)}00087\phantom{10}\\400\overline{)350525}\\\phantom{400)}\underline{\phantom{}3200\phantom{99}}\\\phantom{400)9}3052\\\phantom{400)}\underline{\phantom{9}2800\phantom{9}}\\\phantom{400)99}252\\\end{array}$$

Use the 6^{th} digit 5 from dividend 350525

$$\begin{array}{l}\phantom{400)}00087\phantom{11}\\400\overline{)350525}\\\phantom{400)}\underline{\phantom{}3200\phantom{99}}\\\phantom{400)9}3052\\\phantom{400)}\underline{\phantom{9}2800\phantom{9}}\\\phantom{400)99}2525\\\end{array}$$

Find closest multiple of 400 to 2525. We see that 6 \times 400 = 2400 is the nearest. Now subtract 2400 from 2525 to get reminder 125. Add 6 to quotient.

$$\begin{array}{l}\phantom{400)}000876\phantom{12}\\400\overline{)350525}\\\phantom{400)}\underline{\phantom{}3200\phantom{99}}\\\phantom{400)9}3052\\\phantom{400)}\underline{\phantom{9}2800\phantom{9}}\\\phantom{400)99}2525\\\phantom{400)}\underline{\phantom{99}2400\phantom{}}\\\phantom{400)999}125\\\end{array}$$

Since 125 is less than 400, stop the division. The reminder is 125. The topmost line 000876 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 876.

$$\text{Quotient: }876 \text{Reminder: }125$$

Factor

$$\frac{7 \cdot 2003}{2 ^ {4}} = 876\frac{5}{16} = 876.3125$$