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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 669 · 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. 1.268606 ÷ 988 =
  2. 2.667167 ÷ 989 =
  3. 3.12743 ÷ 96 =
  4. 4.79216 ÷ 89 =
  5. 5.63420 ÷ 96 =
  6. 6.31456 ÷ 997 =
  7. 7.2498 ÷ 89 =
  8. 8.5204 ÷ 98 =
  9. 9.189327 ÷ 988 =
  10. 10.5476 ÷ 89 =
  11. 11.14634 ÷ 89 =
  12. 12.36378 ÷ 97 =
  13. 13.41913 ÷ 97 =
  14. 14.518128 ÷ 897 =
  15. 15.28250 ÷ 96 =
  16. 16.769252 ÷ 989 =
  17. 17.63252 ÷ 98 =
  18. 18.100468 ÷ 897 =
  19. 19.602000 ÷ 897 =
  20. 20.398780 ÷ 988 =
  21. 21.291079 ÷ 897 =
  22. 22.5425 ÷ 97 =
  23. 23.13730 ÷ 98 =
  24. 24.94618 ÷ 96 =
  25. 25.18555 ÷ 96 =
  26. 26.648241 ÷ 998 =
  27. 27.44566 ÷ 96 =
  28. 28.760978 ÷ 897 =
  29. 29.9125 ÷ 8 =
  30. 30.36824 ÷ 98 =
  31. 31.959371 ÷ 988 =
  32. 32.38959 ÷ 88 =
  33. 33.9903 ÷ 8 =
  34. 34.611220 ÷ 897 =
  35. 35.682495 ÷ 998 =
  36. 36.22698 ÷ 97 =
  37. 37.23185 ÷ 88 =
  38. 38.30158 ÷ 89 =
  39. 39.87725 ÷ 988 =
  40. 40.32879 ÷ 97 =

Answer key

  1. 271 rem 858
  2. 674 rem 581
  3. 132 rem 71
  4. 890 rem 6
  5. 660 rem 60
  6. 31 rem 549
  7. 28 rem 6
  8. 53 rem 10
  9. 191 rem 619
  10. 61 rem 47
  11. 164 rem 38
  12. 375 rem 3
  13. 432 rem 9
  14. 577 rem 559
  15. 294 rem 26
  16. 777 rem 799
  17. 645 rem 42
  18. 112 rem 4
  19. 671 rem 113
  20. 403 rem 616
  21. 324 rem 451
  22. 55 rem 90
  23. 140 rem 10
  24. 985 rem 58
  25. 193 rem 27
  26. 649 rem 539
  27. 464 rem 22
  28. 848 rem 322
  29. 1140 rem 5
  30. 375 rem 74
  31. 971 rem 23
  32. 442 rem 63
  33. 1237 rem 7
  34. 681 rem 363
  35. 683 rem 861
  36. 234 rem 0
  37. 263 rem 41
  38. 338 rem 76
  39. 88 rem 781
  40. 338 rem 93

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