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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 56 · 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. 1.885534 ÷ 988 =
  2. 2.764394 ÷ 997 =
  3. 3.25496 ÷ 88 =
  4. 4.187514 ÷ 989 =
  5. 5.86769 ÷ 96 =
  6. 6.8912 ÷ 8 =
  7. 7.56984 ÷ 88 =
  8. 8.41491 ÷ 98 =
  9. 9.94472 ÷ 97 =
  10. 10.920670 ÷ 998 =
  11. 11.98317 ÷ 96 =
  12. 12.925496 ÷ 988 =
  13. 13.95618 ÷ 96 =
  14. 14.754 ÷ 8 =
  15. 15.23055 ÷ 96 =
  16. 16.48547 ÷ 88 =
  17. 17.1044 ÷ 8 =
  18. 18.557342 ÷ 989 =
  19. 19.372156 ÷ 997 =
  20. 20.20896 ÷ 998 =
  21. 21.79368 ÷ 98 =
  22. 22.1755 ÷ 8 =
  23. 23.9218 ÷ 8 =
  24. 24.87783 ÷ 998 =
  25. 25.55093 ÷ 98 =
  26. 26.95837 ÷ 88 =
  27. 27.170170 ÷ 998 =
  28. 28.57621 ÷ 88 =
  29. 29.71299 ÷ 96 =
  30. 30.77905 ÷ 88 =
  31. 31.8434 ÷ 96 =
  32. 32.3248 ÷ 8 =
  33. 33.499799 ÷ 897 =
  34. 34.26822 ÷ 97 =
  35. 35.58021 ÷ 98 =
  36. 36.79937 ÷ 96 =
  37. 37.20388 ÷ 89 =
  38. 38.97507 ÷ 89 =
  39. 39.774157 ÷ 998 =
  40. 40.1695 ÷ 8 =

Answer key

  1. 896 rem 286
  2. 766 rem 692
  3. 289 rem 64
  4. 189 rem 593
  5. 903 rem 81
  6. 1114 rem 0
  7. 647 rem 48
  8. 423 rem 37
  9. 973 rem 91
  10. 922 rem 514
  11. 1024 rem 13
  12. 936 rem 728
  13. 996 rem 2
  14. 94 rem 2
  15. 240 rem 15
  16. 551 rem 59
  17. 130 rem 4
  18. 563 rem 535
  19. 373 rem 275
  20. 20 rem 936
  21. 809 rem 86
  22. 219 rem 3
  23. 1152 rem 2
  24. 87 rem 957
  25. 562 rem 17
  26. 1089 rem 5
  27. 170 rem 510
  28. 654 rem 69
  29. 742 rem 67
  30. 885 rem 25
  31. 87 rem 82
  32. 406 rem 0
  33. 557 rem 170
  34. 276 rem 50
  35. 592 rem 5
  36. 832 rem 65
  37. 229 rem 7
  38. 1095 rem 52
  39. 775 rem 707
  40. 211 rem 7

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