Solve 1785div51

$$1785 \div 51$$

Evaluate

$$35$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1785

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)1785}\\\end{array}$$

Since 1 is less than 51, use the next digit 7 from dividend 1785 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)1785}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1785

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)1785}\\\end{array}$$

Since 17 is less than 51, use the next digit 8 from dividend 1785 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}00\phantom{4}\\51\overline{)1785}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1785

$$\begin{array}{l}\phantom{51)}00\phantom{5}\\51\overline{)1785}\\\end{array}$$

Find closest multiple of 51 to 178. We see that 3 \times 51 = 153 is the nearest. Now subtract 153 from 178 to get reminder 25. Add 3 to quotient.

$$\begin{array}{l}\phantom{51)}003\phantom{6}\\51\overline{)1785}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}25\\\end{array}$$

Use the 4^{th} digit 5 from dividend 1785

$$\begin{array}{l}\phantom{51)}003\phantom{7}\\51\overline{)1785}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}255\\\end{array}$$

Find closest multiple of 51 to 255. We see that 5 \times 51 = 255 is the nearest. Now subtract 255 from 255 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{51)}0035\phantom{8}\\51\overline{)1785}\\\phantom{51)}\underline{\phantom{}153\phantom{9}}\\\phantom{51)9}255\\\phantom{51)}\underline{\phantom{9}255\phantom{}}\\\phantom{51)9999}0\\\end{array}$$

Since 0 is less than 51, stop the division. The reminder is 0. The topmost line 0035 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 35.

$$\text{Quotient: }35 \text{Reminder: }0$$

Factor

$$5\times 7$$