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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 870 · 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. 1.97705 ÷ 96 =
  2. 2.12922 ÷ 96 =
  3. 3.874646 ÷ 897 =
  4. 4.93636 ÷ 98 =
  5. 5.3874 ÷ 8 =
  6. 6.12825 ÷ 96 =
  7. 7.91453 ÷ 89 =
  8. 8.65493 ÷ 96 =
  9. 9.28975 ÷ 96 =
  10. 10.44806 ÷ 98 =
  11. 11.267041 ÷ 988 =
  12. 12.488854 ÷ 897 =
  13. 13.10268 ÷ 88 =
  14. 14.62017 ÷ 89 =
  15. 15.723070 ÷ 988 =
  16. 16.527626 ÷ 989 =
  17. 17.22232 ÷ 897 =
  18. 18.50920 ÷ 98 =
  19. 19.501 ÷ 8 =
  20. 20.15933 ÷ 98 =
  21. 21.94378 ÷ 97 =
  22. 22.611075 ÷ 897 =
  23. 23.318318 ÷ 897 =
  24. 24.88086 ÷ 897 =
  25. 25.83560 ÷ 98 =
  26. 26.9459 ÷ 97 =
  27. 27.929649 ÷ 998 =
  28. 28.32459 ÷ 89 =
  29. 29.63362 ÷ 97 =
  30. 30.410250 ÷ 897 =
  31. 31.72076 ÷ 97 =
  32. 32.588519 ÷ 988 =
  33. 33.532272 ÷ 897 =
  34. 34.644865 ÷ 988 =
  35. 35.52622 ÷ 89 =
  36. 36.95308 ÷ 98 =
  37. 37.141863 ÷ 997 =
  38. 38.1520 ÷ 8 =
  39. 39.2296 ÷ 98 =
  40. 40.86414 ÷ 96 =

Answer key

  1. 1017 rem 73
  2. 134 rem 58
  3. 975 rem 71
  4. 955 rem 46
  5. 484 rem 2
  6. 133 rem 57
  7. 1027 rem 50
  8. 682 rem 21
  9. 301 rem 79
  10. 457 rem 20
  11. 270 rem 281
  12. 544 rem 886
  13. 116 rem 60
  14. 696 rem 73
  15. 731 rem 842
  16. 533 rem 489
  17. 24 rem 704
  18. 519 rem 58
  19. 62 rem 5
  20. 162 rem 57
  21. 972 rem 94
  22. 681 rem 218
  23. 354 rem 780
  24. 98 rem 180
  25. 852 rem 64
  26. 97 rem 50
  27. 931 rem 511
  28. 364 rem 63
  29. 653 rem 21
  30. 457 rem 321
  31. 743 rem 5
  32. 595 rem 659
  33. 593 rem 351
  34. 652 rem 689
  35. 591 rem 23
  36. 972 rem 52
  37. 142 rem 289
  38. 190 rem 0
  39. 23 rem 42
  40. 900 rem 14

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