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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 838 · 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. 1.46255 ÷ 89 =
  2. 2.62282 ÷ 89 =
  3. 3.8482 ÷ 8 =
  4. 4.3539 ÷ 89 =
  5. 5.950874 ÷ 897 =
  6. 6.7267 ÷ 98 =
  7. 7.47253 ÷ 88 =
  8. 8.12731 ÷ 97 =
  9. 9.69100 ÷ 98 =
  10. 10.139728 ÷ 998 =
  11. 11.89565 ÷ 97 =
  12. 12.28142 ÷ 89 =
  13. 13.73683 ÷ 97 =
  14. 14.84372 ÷ 98 =
  15. 15.481 ÷ 8 =
  16. 16.857625 ÷ 997 =
  17. 17.59208 ÷ 96 =
  18. 18.5752 ÷ 8 =
  19. 19.22791 ÷ 98 =
  20. 20.92037 ÷ 988 =
  21. 21.76607 ÷ 89 =
  22. 22.133668 ÷ 989 =
  23. 23.386106 ÷ 998 =
  24. 24.381490 ÷ 998 =
  25. 25.1895 ÷ 96 =
  26. 26.60494 ÷ 89 =
  27. 27.577983 ÷ 998 =
  28. 28.300375 ÷ 997 =
  29. 29.1943 ÷ 96 =
  30. 30.99585 ÷ 96 =
  31. 31.3700 ÷ 88 =
  32. 32.331195 ÷ 897 =
  33. 33.24826 ÷ 989 =
  34. 34.32058 ÷ 88 =
  35. 35.643102 ÷ 988 =
  36. 36.24953 ÷ 97 =
  37. 37.32261 ÷ 89 =
  38. 38.58090 ÷ 89 =
  39. 39.150833 ÷ 989 =
  40. 40.1929 ÷ 8 =

Answer key

  1. 519 rem 64
  2. 699 rem 71
  3. 1060 rem 2
  4. 39 rem 68
  5. 1060 rem 54
  6. 74 rem 15
  7. 536 rem 85
  8. 131 rem 24
  9. 705 rem 10
  10. 140 rem 8
  11. 923 rem 34
  12. 316 rem 18
  13. 759 rem 60
  14. 860 rem 92
  15. 60 rem 1
  16. 860 rem 205
  17. 616 rem 72
  18. 719 rem 0
  19. 232 rem 55
  20. 93 rem 153
  21. 860 rem 67
  22. 135 rem 153
  23. 386 rem 878
  24. 382 rem 254
  25. 19 rem 71
  26. 679 rem 63
  27. 579 rem 141
  28. 301 rem 278
  29. 20 rem 23
  30. 1037 rem 33
  31. 42 rem 4
  32. 369 rem 202
  33. 25 rem 101
  34. 364 rem 26
  35. 650 rem 902
  36. 257 rem 24
  37. 362 rem 43
  38. 652 rem 62
  39. 152 rem 505
  40. 241 rem 1

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