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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 824 · 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. 1.48046 ÷ 98 =
  2. 2.3441 ÷ 8 =
  3. 3.946060 ÷ 897 =
  4. 4.50790 ÷ 89 =
  5. 5.76738 ÷ 96 =
  6. 6.63874 ÷ 89 =
  7. 7.39971 ÷ 897 =
  8. 8.40886 ÷ 98 =
  9. 9.568373 ÷ 997 =
  10. 10.6979 ÷ 8 =
  11. 11.33683 ÷ 98 =
  12. 12.933845 ÷ 897 =
  13. 13.46037 ÷ 98 =
  14. 14.94097 ÷ 997 =
  15. 15.304921 ÷ 988 =
  16. 16.93598 ÷ 89 =
  17. 17.86432 ÷ 88 =
  18. 18.525228 ÷ 998 =
  19. 19.9971 ÷ 8 =
  20. 20.527592 ÷ 997 =
  21. 21.7966 ÷ 96 =
  22. 22.128588 ÷ 988 =
  23. 23.55881 ÷ 96 =
  24. 24.156185 ÷ 998 =
  25. 25.77786 ÷ 98 =
  26. 26.51271 ÷ 97 =
  27. 27.11231 ÷ 98 =
  28. 28.960429 ÷ 988 =
  29. 29.682429 ÷ 998 =
  30. 30.62524 ÷ 97 =
  31. 31.8306 ÷ 8 =
  32. 32.63551 ÷ 89 =
  33. 33.66618 ÷ 88 =
  34. 34.264387 ÷ 988 =
  35. 35.775440 ÷ 989 =
  36. 36.13150 ÷ 98 =
  37. 37.92191 ÷ 89 =
  38. 38.658942 ÷ 988 =
  39. 39.53123 ÷ 89 =
  40. 40.391536 ÷ 997 =

Answer key

  1. 490 rem 26
  2. 430 rem 1
  3. 1054 rem 622
  4. 570 rem 60
  5. 799 rem 34
  6. 717 rem 61
  7. 44 rem 503
  8. 417 rem 20
  9. 570 rem 83
  10. 872 rem 3
  11. 343 rem 69
  12. 1041 rem 68
  13. 469 rem 75
  14. 94 rem 379
  15. 308 rem 617
  16. 1051 rem 59
  17. 982 rem 16
  18. 526 rem 280
  19. 1246 rem 3
  20. 529 rem 179
  21. 82 rem 94
  22. 130 rem 148
  23. 582 rem 9
  24. 156 rem 497
  25. 793 rem 72
  26. 528 rem 55
  27. 114 rem 59
  28. 972 rem 93
  29. 683 rem 795
  30. 644 rem 56
  31. 1038 rem 2
  32. 714 rem 5
  33. 757 rem 2
  34. 267 rem 591
  35. 784 rem 64
  36. 134 rem 18
  37. 1035 rem 76
  38. 666 rem 934
  39. 596 rem 79
  40. 392 rem 712

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