Solve 394384div350

$$394384 \div 350$$

Evaluate

$$\frac{197192}{175}\approx 1126.811428571$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 394384

$$\begin{array}{l}\phantom{350)}\phantom{1}\\350\overline{)394384}\\\end{array}$$

Since 3 is less than 350, use the next digit 9 from dividend 394384 and add 0 to the quotient

$$\begin{array}{l}\phantom{350)}0\phantom{2}\\350\overline{)394384}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 394384

$$\begin{array}{l}\phantom{350)}0\phantom{3}\\350\overline{)394384}\\\end{array}$$

Since 39 is less than 350, use the next digit 4 from dividend 394384 and add 0 to the quotient

$$\begin{array}{l}\phantom{350)}00\phantom{4}\\350\overline{)394384}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 394384

$$\begin{array}{l}\phantom{350)}00\phantom{5}\\350\overline{)394384}\\\end{array}$$

Find closest multiple of 350 to 394. We see that 1 \times 350 = 350 is the nearest. Now subtract 350 from 394 to get reminder 44. Add 1 to quotient.

$$\begin{array}{l}\phantom{350)}001\phantom{6}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}44\\\end{array}$$

Use the 4^{th} digit 3 from dividend 394384

$$\begin{array}{l}\phantom{350)}001\phantom{7}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\end{array}$$

Find closest multiple of 350 to 443. We see that 1 \times 350 = 350 is the nearest. Now subtract 350 from 443 to get reminder 93. Add 1 to quotient.

$$\begin{array}{l}\phantom{350)}0011\phantom{8}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\phantom{350)}\underline{\phantom{9}350\phantom{99}}\\\phantom{350)99}93\\\end{array}$$

Use the 5^{th} digit 8 from dividend 394384

$$\begin{array}{l}\phantom{350)}0011\phantom{9}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\phantom{350)}\underline{\phantom{9}350\phantom{99}}\\\phantom{350)99}938\\\end{array}$$

Find closest multiple of 350 to 938. We see that 2 \times 350 = 700 is the nearest. Now subtract 700 from 938 to get reminder 238. Add 2 to quotient.

$$\begin{array}{l}\phantom{350)}00112\phantom{10}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\phantom{350)}\underline{\phantom{9}350\phantom{99}}\\\phantom{350)99}938\\\phantom{350)}\underline{\phantom{99}700\phantom{9}}\\\phantom{350)99}238\\\end{array}$$

Use the 6^{th} digit 4 from dividend 394384

$$\begin{array}{l}\phantom{350)}00112\phantom{11}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\phantom{350)}\underline{\phantom{9}350\phantom{99}}\\\phantom{350)99}938\\\phantom{350)}\underline{\phantom{99}700\phantom{9}}\\\phantom{350)99}2384\\\end{array}$$

Find closest multiple of 350 to 2384. We see that 6 \times 350 = 2100 is the nearest. Now subtract 2100 from 2384 to get reminder 284. Add 6 to quotient.

$$\begin{array}{l}\phantom{350)}001126\phantom{12}\\350\overline{)394384}\\\phantom{350)}\underline{\phantom{}350\phantom{999}}\\\phantom{350)9}443\\\phantom{350)}\underline{\phantom{9}350\phantom{99}}\\\phantom{350)99}938\\\phantom{350)}\underline{\phantom{99}700\phantom{9}}\\\phantom{350)99}2384\\\phantom{350)}\underline{\phantom{99}2100\phantom{}}\\\phantom{350)999}284\\\end{array}$$

Since 284 is less than 350, stop the division. The reminder is 284. The topmost line 001126 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1126.

$$\text{Quotient: }1126 \text{Reminder: }284$$

Factor

$$\frac{2 ^ {3} \cdot 157 ^ {2}}{5 ^ {2} \cdot 7} = 1126\frac{142}{175} = 1126.8114285714287$$