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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 337 · 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. 1.29811 ÷ 897 =
  2. 2.62421 ÷ 88 =
  3. 3.2951 ÷ 97 =
  4. 4.366178 ÷ 989 =
  5. 5.95842 ÷ 97 =
  6. 6.271116 ÷ 897 =
  7. 7.20287 ÷ 88 =
  8. 8.76419 ÷ 98 =
  9. 9.879182 ÷ 997 =
  10. 10.1734 ÷ 8 =
  11. 11.59022 ÷ 97 =
  12. 12.98419 ÷ 98 =
  13. 13.217579 ÷ 997 =
  14. 14.821880 ÷ 997 =
  15. 15.16777 ÷ 88 =
  16. 16.23804 ÷ 98 =
  17. 17.281461 ÷ 989 =
  18. 18.5312 ÷ 8 =
  19. 19.230908 ÷ 988 =
  20. 20.81509 ÷ 96 =
  21. 21.74268 ÷ 98 =
  22. 22.59262 ÷ 998 =
  23. 23.538032 ÷ 988 =
  24. 24.26855 ÷ 897 =
  25. 25.658609 ÷ 997 =
  26. 26.12900 ÷ 89 =
  27. 27.943979 ÷ 988 =
  28. 28.812 ÷ 8 =
  29. 29.81721 ÷ 989 =
  30. 30.2527 ÷ 89 =
  31. 31.3717 ÷ 97 =
  32. 32.750 ÷ 8 =
  33. 33.176841 ÷ 897 =
  34. 34.557796 ÷ 897 =
  35. 35.290299 ÷ 998 =
  36. 36.13427 ÷ 96 =
  37. 37.97617 ÷ 88 =
  38. 38.639759 ÷ 998 =
  39. 39.14373 ÷ 88 =
  40. 40.7572 ÷ 97 =

Answer key

  1. 33 rem 210
  2. 709 rem 29
  3. 30 rem 41
  4. 370 rem 248
  5. 988 rem 6
  6. 302 rem 222
  7. 230 rem 47
  8. 779 rem 77
  9. 881 rem 825
  10. 216 rem 6
  11. 608 rem 46
  12. 1004 rem 27
  13. 218 rem 233
  14. 824 rem 352
  15. 190 rem 57
  16. 242 rem 88
  17. 284 rem 585
  18. 664 rem 0
  19. 233 rem 704
  20. 849 rem 5
  21. 757 rem 82
  22. 59 rem 380
  23. 544 rem 560
  24. 29 rem 842
  25. 660 rem 589
  26. 144 rem 84
  27. 955 rem 439
  28. 101 rem 4
  29. 82 rem 623
  30. 28 rem 35
  31. 38 rem 31
  32. 93 rem 6
  33. 197 rem 132
  34. 621 rem 759
  35. 290 rem 879
  36. 139 rem 83
  37. 1109 rem 25
  38. 641 rem 41
  39. 163 rem 29
  40. 78 rem 6

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