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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 677 · 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. 1.551213 ÷ 989 =
  2. 2.243169 ÷ 897 =
  3. 3.60407 ÷ 88 =
  4. 4.30565 ÷ 96 =
  5. 5.86311 ÷ 97 =
  6. 6.70707 ÷ 89 =
  7. 7.5511 ÷ 8 =
  8. 8.176824 ÷ 998 =
  9. 9.129012 ÷ 988 =
  10. 10.11751 ÷ 96 =
  11. 11.570571 ÷ 997 =
  12. 12.318903 ÷ 988 =
  13. 13.29565 ÷ 98 =
  14. 14.72355 ÷ 897 =
  15. 15.449662 ÷ 989 =
  16. 16.45850 ÷ 988 =
  17. 17.98085 ÷ 97 =
  18. 18.303 ÷ 8 =
  19. 19.37170 ÷ 97 =
  20. 20.623 ÷ 8 =
  21. 21.601223 ÷ 897 =
  22. 22.11810 ÷ 96 =
  23. 23.27664 ÷ 97 =
  24. 24.433575 ÷ 997 =
  25. 25.438942 ÷ 897 =
  26. 26.10879 ÷ 96 =
  27. 27.815179 ÷ 989 =
  28. 28.97015 ÷ 98 =
  29. 29.22966 ÷ 88 =
  30. 30.90883 ÷ 897 =
  31. 31.761082 ÷ 989 =
  32. 32.19746 ÷ 97 =
  33. 33.7238 ÷ 8 =
  34. 34.70876 ÷ 98 =
  35. 35.40425 ÷ 989 =
  36. 36.8385 ÷ 89 =
  37. 37.52667 ÷ 97 =
  38. 38.81177 ÷ 88 =
  39. 39.977393 ÷ 988 =
  40. 40.662156 ÷ 997 =

Answer key

  1. 557 rem 340
  2. 271 rem 82
  3. 686 rem 39
  4. 318 rem 37
  5. 889 rem 78
  6. 794 rem 41
  7. 688 rem 7
  8. 177 rem 178
  9. 130 rem 572
  10. 122 rem 39
  11. 572 rem 287
  12. 322 rem 767
  13. 301 rem 67
  14. 80 rem 595
  15. 454 rem 656
  16. 46 rem 402
  17. 1011 rem 18
  18. 37 rem 7
  19. 383 rem 19
  20. 77 rem 7
  21. 670 rem 233
  22. 123 rem 2
  23. 285 rem 19
  24. 434 rem 877
  25. 489 rem 309
  26. 113 rem 31
  27. 824 rem 243
  28. 989 rem 93
  29. 260 rem 86
  30. 101 rem 286
  31. 769 rem 541
  32. 203 rem 55
  33. 904 rem 6
  34. 723 rem 22
  35. 40 rem 865
  36. 94 rem 19
  37. 542 rem 93
  38. 922 rem 41
  39. 989 rem 261
  40. 664 rem 148

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