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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 744 · 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. 1.5866 ÷ 96 =
  2. 2.795927 ÷ 988 =
  3. 3.52201 ÷ 89 =
  4. 4.113355 ÷ 997 =
  5. 5.82004 ÷ 98 =
  6. 6.49573 ÷ 98 =
  7. 7.333340 ÷ 997 =
  8. 8.79228 ÷ 98 =
  9. 9.6536 ÷ 8 =
  10. 10.36641 ÷ 96 =
  11. 11.906740 ÷ 988 =
  12. 12.61785 ÷ 98 =
  13. 13.26545 ÷ 89 =
  14. 14.78418 ÷ 88 =
  15. 15.18386 ÷ 88 =
  16. 16.3350 ÷ 8 =
  17. 17.83781 ÷ 97 =
  18. 18.79095 ÷ 997 =
  19. 19.1943 ÷ 8 =
  20. 20.340618 ÷ 989 =
  21. 21.5252 ÷ 8 =
  22. 22.8044 ÷ 97 =
  23. 23.91045 ÷ 98 =
  24. 24.111649 ÷ 997 =
  25. 25.44308 ÷ 88 =
  26. 26.57361 ÷ 89 =
  27. 27.596254 ÷ 997 =
  28. 28.79591 ÷ 96 =
  29. 29.20607 ÷ 96 =
  30. 30.200300 ÷ 989 =
  31. 31.5477 ÷ 97 =
  32. 32.449330 ÷ 998 =
  33. 33.23377 ÷ 98 =
  34. 34.526446 ÷ 997 =
  35. 35.18803 ÷ 89 =
  36. 36.294560 ÷ 897 =
  37. 37.548062 ÷ 998 =
  38. 38.4747 ÷ 8 =
  39. 39.5271 ÷ 8 =
  40. 40.697029 ÷ 988 =

Answer key

  1. 61 rem 10
  2. 805 rem 587
  3. 586 rem 47
  4. 113 rem 694
  5. 836 rem 76
  6. 505 rem 83
  7. 334 rem 342
  8. 808 rem 44
  9. 817 rem 0
  10. 381 rem 65
  11. 917 rem 744
  12. 630 rem 45
  13. 298 rem 23
  14. 891 rem 10
  15. 208 rem 82
  16. 418 rem 6
  17. 863 rem 70
  18. 79 rem 332
  19. 242 rem 7
  20. 344 rem 402
  21. 656 rem 4
  22. 82 rem 90
  23. 929 rem 3
  24. 111 rem 982
  25. 503 rem 44
  26. 644 rem 45
  27. 598 rem 48
  28. 829 rem 7
  29. 214 rem 63
  30. 202 rem 522
  31. 56 rem 45
  32. 450 rem 230
  33. 238 rem 53
  34. 528 rem 30
  35. 211 rem 24
  36. 328 rem 344
  37. 549 rem 160
  38. 593 rem 3
  39. 658 rem 7
  40. 705 rem 489

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