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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 38 · 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. 1.449894 ÷ 988 =
  2. 2.933298 ÷ 998 =
  3. 3.147832 ÷ 989 =
  4. 4.5790 ÷ 8 =
  5. 5.709222 ÷ 998 =
  6. 6.20458 ÷ 96 =
  7. 7.528076 ÷ 997 =
  8. 8.20458 ÷ 88 =
  9. 9.163590 ÷ 997 =
  10. 10.8466 ÷ 8 =
  11. 11.70900 ÷ 98 =
  12. 12.163404 ÷ 897 =
  13. 13.3458 ÷ 8 =
  14. 14.35076 ÷ 96 =
  15. 15.610518 ÷ 897 =
  16. 16.68882 ÷ 98 =
  17. 17.808264 ÷ 988 =
  18. 18.612073 ÷ 997 =
  19. 19.360063 ÷ 988 =
  20. 20.666757 ÷ 998 =
  21. 21.76140 ÷ 98 =
  22. 22.9766 ÷ 8 =
  23. 23.5614 ÷ 8 =
  24. 24.63583 ÷ 98 =
  25. 25.2224 ÷ 8 =
  26. 26.959469 ÷ 997 =
  27. 27.66634 ÷ 97 =
  28. 28.36692 ÷ 96 =
  29. 29.84835 ÷ 97 =
  30. 30.35196 ÷ 98 =
  31. 31.14685 ÷ 89 =
  32. 32.26495 ÷ 96 =
  33. 33.299550 ÷ 998 =
  34. 34.248848 ÷ 997 =
  35. 35.547495 ÷ 989 =
  36. 36.257323 ÷ 998 =
  37. 37.290673 ÷ 988 =
  38. 38.22102 ÷ 88 =
  39. 39.322406 ÷ 998 =
  40. 40.16161 ÷ 89 =

Answer key

  1. 455 rem 354
  2. 935 rem 168
  3. 149 rem 471
  4. 723 rem 6
  5. 710 rem 642
  6. 213 rem 10
  7. 529 rem 663
  8. 232 rem 42
  9. 164 rem 82
  10. 1058 rem 2
  11. 723 rem 46
  12. 182 rem 150
  13. 432 rem 2
  14. 365 rem 36
  15. 680 rem 558
  16. 702 rem 86
  17. 818 rem 80
  18. 613 rem 912
  19. 364 rem 431
  20. 668 rem 93
  21. 776 rem 92
  22. 1220 rem 6
  23. 701 rem 6
  24. 648 rem 79
  25. 278 rem 0
  26. 962 rem 355
  27. 686 rem 92
  28. 382 rem 20
  29. 874 rem 57
  30. 359 rem 14
  31. 165 rem 0
  32. 275 rem 95
  33. 300 rem 150
  34. 249 rem 595
  35. 553 rem 578
  36. 257 rem 837
  37. 294 rem 201
  38. 251 rem 14
  39. 323 rem 52
  40. 181 rem 52

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