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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 867 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.173346 ÷ 989 =
  2. 2.12486 ÷ 96 =
  3. 3.247413 ÷ 897 =
  4. 4.586099 ÷ 998 =
  5. 5.203035 ÷ 988 =
  6. 6.30948 ÷ 98 =
  7. 7.177257 ÷ 998 =
  8. 8.156666 ÷ 897 =
  9. 9.29158 ÷ 97 =
  10. 10.16874 ÷ 96 =
  11. 11.225428 ÷ 897 =
  12. 12.197012 ÷ 997 =
  13. 13.1352 ÷ 89 =
  14. 14.636390 ÷ 988 =
  15. 15.85942 ÷ 96 =
  16. 16.69921 ÷ 96 =
  17. 17.380539 ÷ 989 =
  18. 18.728575 ÷ 997 =
  19. 19.87958 ÷ 97 =
  20. 20.433569 ÷ 998 =
  21. 21.463815 ÷ 997 =
  22. 22.231076 ÷ 989 =
  23. 23.78771 ÷ 97 =
  24. 24.46195 ÷ 97 =
  25. 25.35347 ÷ 998 =
  26. 26.83097 ÷ 897 =
  27. 27.645957 ÷ 988 =
  28. 28.5739 ÷ 8 =
  29. 29.75796 ÷ 98 =
  30. 30.69459 ÷ 97 =
  31. 31.30357 ÷ 88 =
  32. 32.83928 ÷ 89 =
  33. 33.256076 ÷ 989 =
  34. 34.22392 ÷ 96 =
  35. 35.32860 ÷ 97 =
  36. 36.529975 ÷ 997 =
  37. 37.34650 ÷ 88 =
  38. 38.143765 ÷ 897 =
  39. 39.1104 ÷ 8 =
  40. 40.291137 ÷ 988 =

Answer key

  1. 175 rem 271
  2. 130 rem 6
  3. 275 rem 738
  4. 587 rem 273
  5. 205 rem 495
  6. 315 rem 78
  7. 177 rem 611
  8. 174 rem 588
  9. 300 rem 58
  10. 175 rem 74
  11. 251 rem 281
  12. 197 rem 603
  13. 15 rem 17
  14. 644 rem 118
  15. 895 rem 22
  16. 728 rem 33
  17. 384 rem 763
  18. 730 rem 765
  19. 906 rem 76
  20. 434 rem 437
  21. 465 rem 210
  22. 233 rem 639
  23. 812 rem 7
  24. 476 rem 23
  25. 35 rem 417
  26. 92 rem 573
  27. 653 rem 793
  28. 717 rem 3
  29. 773 rem 42
  30. 716 rem 7
  31. 344 rem 85
  32. 943 rem 1
  33. 258 rem 914
  34. 233 rem 24
  35. 338 rem 74
  36. 531 rem 568
  37. 393 rem 66
  38. 160 rem 245
  39. 138 rem 0
  40. 294 rem 665

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