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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 238 · 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. 1.20605 ÷ 89 =
  2. 2.47786 ÷ 88 =
  3. 3.135980 ÷ 997 =
  4. 4.3726 ÷ 8 =
  5. 5.147413 ÷ 997 =
  6. 6.99484 ÷ 98 =
  7. 7.599448 ÷ 997 =
  8. 8.22445 ÷ 97 =
  9. 9.646277 ÷ 988 =
  10. 10.247637 ÷ 997 =
  11. 11.19634 ÷ 97 =
  12. 12.619601 ÷ 988 =
  13. 13.120538 ÷ 989 =
  14. 14.86926 ÷ 88 =
  15. 15.163338 ÷ 989 =
  16. 16.3629 ÷ 8 =
  17. 17.66281 ÷ 88 =
  18. 18.770771 ÷ 989 =
  19. 19.835528 ÷ 897 =
  20. 20.2847 ÷ 98 =
  21. 21.58858 ÷ 88 =
  22. 22.61730 ÷ 97 =
  23. 23.359093 ÷ 998 =
  24. 24.99225 ÷ 97 =
  25. 25.57893 ÷ 97 =
  26. 26.19389 ÷ 88 =
  27. 27.6068 ÷ 8 =
  28. 28.68748 ÷ 98 =
  29. 29.390756 ÷ 988 =
  30. 30.44228 ÷ 88 =
  31. 31.880584 ÷ 988 =
  32. 32.938564 ÷ 989 =
  33. 33.259632 ÷ 989 =
  34. 34.54814 ÷ 96 =
  35. 35.41189 ÷ 98 =
  36. 36.5614 ÷ 96 =
  37. 37.66964 ÷ 98 =
  38. 38.70901 ÷ 98 =
  39. 39.14768 ÷ 97 =
  40. 40.9879 ÷ 8 =

Answer key

  1. 231 rem 46
  2. 543 rem 2
  3. 136 rem 388
  4. 465 rem 6
  5. 147 rem 854
  6. 1015 rem 14
  7. 601 rem 251
  8. 231 rem 38
  9. 654 rem 125
  10. 248 rem 381
  11. 202 rem 40
  12. 627 rem 125
  13. 121 rem 869
  14. 987 rem 70
  15. 165 rem 153
  16. 453 rem 5
  17. 753 rem 17
  18. 779 rem 340
  19. 931 rem 421
  20. 29 rem 5
  21. 668 rem 74
  22. 636 rem 38
  23. 359 rem 811
  24. 1022 rem 91
  25. 596 rem 81
  26. 220 rem 29
  27. 758 rem 4
  28. 701 rem 50
  29. 395 rem 496
  30. 502 rem 52
  31. 891 rem 276
  32. 949 rem 3
  33. 262 rem 514
  34. 570 rem 94
  35. 420 rem 29
  36. 58 rem 46
  37. 683 rem 30
  38. 723 rem 47
  39. 152 rem 24
  40. 1234 rem 7

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