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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 136 · 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. 1.2140 ÷ 8 =
  2. 2.644240 ÷ 988 =
  3. 3.572 ÷ 8 =
  4. 4.51031 ÷ 89 =
  5. 5.54492 ÷ 96 =
  6. 6.803310 ÷ 997 =
  7. 7.50054 ÷ 88 =
  8. 8.771658 ÷ 997 =
  9. 9.181070 ÷ 897 =
  10. 10.64424 ÷ 88 =
  11. 11.213653 ÷ 998 =
  12. 12.60487 ÷ 89 =
  13. 13.3537 ÷ 8 =
  14. 14.827 ÷ 8 =
  15. 15.77945 ÷ 88 =
  16. 16.86777 ÷ 98 =
  17. 17.5344 ÷ 8 =
  18. 18.3163 ÷ 8 =
  19. 19.610627 ÷ 997 =
  20. 20.69915 ÷ 96 =
  21. 21.30026 ÷ 97 =
  22. 22.99223 ÷ 98 =
  23. 23.300904 ÷ 997 =
  24. 24.39406 ÷ 97 =
  25. 25.923381 ÷ 989 =
  26. 26.126992 ÷ 997 =
  27. 27.6144 ÷ 97 =
  28. 28.85488 ÷ 97 =
  29. 29.6328 ÷ 96 =
  30. 30.515809 ÷ 998 =
  31. 31.78318 ÷ 98 =
  32. 32.3152 ÷ 8 =
  33. 33.86774 ÷ 88 =
  34. 34.45968 ÷ 98 =
  35. 35.70889 ÷ 88 =
  36. 36.4126 ÷ 8 =
  37. 37.11604 ÷ 97 =
  38. 38.646934 ÷ 998 =
  39. 39.55289 ÷ 89 =
  40. 40.90503 ÷ 96 =

Answer key

  1. 267 rem 4
  2. 652 rem 64
  3. 71 rem 4
  4. 573 rem 34
  5. 567 rem 60
  6. 805 rem 725
  7. 568 rem 70
  8. 773 rem 977
  9. 201 rem 773
  10. 732 rem 8
  11. 214 rem 81
  12. 679 rem 56
  13. 442 rem 1
  14. 103 rem 3
  15. 885 rem 65
  16. 885 rem 47
  17. 668 rem 0
  18. 395 rem 3
  19. 612 rem 463
  20. 728 rem 27
  21. 309 rem 53
  22. 1012 rem 47
  23. 301 rem 807
  24. 406 rem 24
  25. 933 rem 644
  26. 127 rem 373
  27. 63 rem 33
  28. 881 rem 31
  29. 65 rem 88
  30. 516 rem 841
  31. 799 rem 16
  32. 394 rem 0
  33. 986 rem 6
  34. 469 rem 6
  35. 805 rem 49
  36. 515 rem 6
  37. 119 rem 61
  38. 648 rem 230
  39. 621 rem 20
  40. 942 rem 71

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