Solve 1799div32

$$1799 \div 32$$

Evaluate

$$\frac{1799}{32}=56.21875$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1799

$$\begin{array}{l}\phantom{32)}\phantom{1}\\32\overline{)1799}\\\end{array}$$

Since 1 is less than 32, use the next digit 7 from dividend 1799 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}0\phantom{2}\\32\overline{)1799}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1799

$$\begin{array}{l}\phantom{32)}0\phantom{3}\\32\overline{)1799}\\\end{array}$$

Since 17 is less than 32, use the next digit 9 from dividend 1799 and add 0 to the quotient

$$\begin{array}{l}\phantom{32)}00\phantom{4}\\32\overline{)1799}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1799

$$\begin{array}{l}\phantom{32)}00\phantom{5}\\32\overline{)1799}\\\end{array}$$

Find closest multiple of 32 to 179. We see that 5 \times 32 = 160 is the nearest. Now subtract 160 from 179 to get reminder 19. Add 5 to quotient.

$$\begin{array}{l}\phantom{32)}005\phantom{6}\\32\overline{)1799}\\\phantom{32)}\underline{\phantom{}160\phantom{9}}\\\phantom{32)9}19\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1799

$$\begin{array}{l}\phantom{32)}005\phantom{7}\\32\overline{)1799}\\\phantom{32)}\underline{\phantom{}160\phantom{9}}\\\phantom{32)9}199\\\end{array}$$

Find closest multiple of 32 to 199. We see that 6 \times 32 = 192 is the nearest. Now subtract 192 from 199 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{32)}0056\phantom{8}\\32\overline{)1799}\\\phantom{32)}\underline{\phantom{}160\phantom{9}}\\\phantom{32)9}199\\\phantom{32)}\underline{\phantom{9}192\phantom{}}\\\phantom{32)999}7\\\end{array}$$

Since 7 is less than 32, stop the division. The reminder is 7. The topmost line 0056 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 56.

$$\text{Quotient: }56 \text{Reminder: }7$$

Factor

$$\frac{7 \cdot 257}{2 ^ {5}} = 56\frac{7}{32} = 56.21875$$