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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 404 · 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. 1.37020 ÷ 88 =
  2. 2.561622 ÷ 997 =
  3. 3.487923 ÷ 998 =
  4. 4.805190 ÷ 997 =
  5. 5.537358 ÷ 998 =
  6. 6.45074 ÷ 998 =
  7. 7.36024 ÷ 89 =
  8. 8.11600 ÷ 98 =
  9. 9.2668 ÷ 8 =
  10. 10.127235 ÷ 897 =
  11. 11.43011 ÷ 96 =
  12. 12.462288 ÷ 998 =
  13. 13.169782 ÷ 988 =
  14. 14.61770 ÷ 98 =
  15. 15.92168 ÷ 97 =
  16. 16.265046 ÷ 989 =
  17. 17.68006 ÷ 97 =
  18. 18.92560 ÷ 88 =
  19. 19.730288 ÷ 988 =
  20. 20.96821 ÷ 96 =
  21. 21.22126 ÷ 97 =
  22. 22.63712 ÷ 89 =
  23. 23.195919 ÷ 998 =
  24. 24.71963 ÷ 97 =
  25. 25.872387 ÷ 897 =
  26. 26.12685 ÷ 98 =
  27. 27.81528 ÷ 98 =
  28. 28.36962 ÷ 88 =
  29. 29.12042 ÷ 96 =
  30. 30.73978 ÷ 997 =
  31. 31.49691 ÷ 98 =
  32. 32.48946 ÷ 997 =
  33. 33.800312 ÷ 998 =
  34. 34.67031 ÷ 97 =
  35. 35.650331 ÷ 997 =
  36. 36.831291 ÷ 988 =
  37. 37.7042 ÷ 8 =
  38. 38.164460 ÷ 989 =
  39. 39.139537 ÷ 997 =
  40. 40.299620 ÷ 997 =

Answer key

  1. 420 rem 60
  2. 563 rem 311
  3. 488 rem 899
  4. 807 rem 611
  5. 538 rem 434
  6. 45 rem 164
  7. 404 rem 68
  8. 118 rem 36
  9. 333 rem 4
  10. 141 rem 758
  11. 448 rem 3
  12. 463 rem 214
  13. 171 rem 834
  14. 630 rem 30
  15. 950 rem 18
  16. 267 rem 983
  17. 701 rem 9
  18. 1051 rem 72
  19. 739 rem 156
  20. 1008 rem 53
  21. 228 rem 10
  22. 715 rem 77
  23. 196 rem 311
  24. 741 rem 86
  25. 972 rem 503
  26. 129 rem 43
  27. 831 rem 90
  28. 420 rem 2
  29. 125 rem 42
  30. 74 rem 200
  31. 507 rem 5
  32. 49 rem 93
  33. 801 rem 914
  34. 691 rem 4
  35. 652 rem 287
  36. 841 rem 383
  37. 880 rem 2
  38. 166 rem 286
  39. 139 rem 954
  40. 300 rem 520

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