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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 92 · 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. 1.873065 ÷ 989 =
  2. 2.86518 ÷ 897 =
  3. 3.899408 ÷ 989 =
  4. 4.62653 ÷ 88 =
  5. 5.17083 ÷ 88 =
  6. 6.804343 ÷ 998 =
  7. 7.252149 ÷ 998 =
  8. 8.617380 ÷ 997 =
  9. 9.47940 ÷ 96 =
  10. 10.458512 ÷ 998 =
  11. 11.54192 ÷ 97 =
  12. 12.6835 ÷ 8 =
  13. 13.468948 ÷ 997 =
  14. 14.423706 ÷ 998 =
  15. 15.33436 ÷ 98 =
  16. 16.21078 ÷ 88 =
  17. 17.51341 ÷ 897 =
  18. 18.438141 ÷ 897 =
  19. 19.51100 ÷ 88 =
  20. 20.61811 ÷ 96 =
  21. 21.78865 ÷ 96 =
  22. 22.5803 ÷ 8 =
  23. 23.718234 ÷ 897 =
  24. 24.67675 ÷ 97 =
  25. 25.212112 ÷ 989 =
  26. 26.794149 ÷ 897 =
  27. 27.257298 ÷ 988 =
  28. 28.74787 ÷ 96 =
  29. 29.496364 ÷ 998 =
  30. 30.37677 ÷ 98 =
  31. 31.71433 ÷ 98 =
  32. 32.7997 ÷ 8 =
  33. 33.499379 ÷ 998 =
  34. 34.604664 ÷ 897 =
  35. 35.62620 ÷ 97 =
  36. 36.8940 ÷ 8 =
  37. 37.38121 ÷ 88 =
  38. 38.2958 ÷ 88 =
  39. 39.999611 ÷ 989 =
  40. 40.843850 ÷ 988 =

Answer key

  1. 882 rem 767
  2. 96 rem 406
  3. 909 rem 407
  4. 711 rem 85
  5. 194 rem 11
  6. 805 rem 953
  7. 252 rem 653
  8. 619 rem 237
  9. 499 rem 36
  10. 459 rem 430
  11. 558 rem 66
  12. 854 rem 3
  13. 470 rem 358
  14. 424 rem 554
  15. 341 rem 18
  16. 239 rem 46
  17. 57 rem 212
  18. 488 rem 405
  19. 580 rem 60
  20. 643 rem 83
  21. 821 rem 49
  22. 725 rem 3
  23. 800 rem 634
  24. 697 rem 66
  25. 214 rem 466
  26. 885 rem 304
  27. 260 rem 418
  28. 779 rem 3
  29. 497 rem 358
  30. 384 rem 45
  31. 728 rem 89
  32. 999 rem 5
  33. 500 rem 379
  34. 674 rem 86
  35. 645 rem 55
  36. 1117 rem 4
  37. 433 rem 17
  38. 33 rem 54
  39. 1010 rem 721
  40. 854 rem 98

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