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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 202 · 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. 1.36844 ÷ 89 =
  2. 2.184071 ÷ 989 =
  3. 3.85808 ÷ 89 =
  4. 4.245469 ÷ 988 =
  5. 5.52776 ÷ 97 =
  6. 6.113 ÷ 8 =
  7. 7.301907 ÷ 989 =
  8. 8.325923 ÷ 998 =
  9. 9.839 ÷ 8 =
  10. 10.684583 ÷ 998 =
  11. 11.4132 ÷ 8 =
  12. 12.50914 ÷ 89 =
  13. 13.15815 ÷ 89 =
  14. 14.28282 ÷ 89 =
  15. 15.96479 ÷ 998 =
  16. 16.27599 ÷ 98 =
  17. 17.97685 ÷ 98 =
  18. 18.40260 ÷ 89 =
  19. 19.875903 ÷ 997 =
  20. 20.2110 ÷ 89 =
  21. 21.38552 ÷ 96 =
  22. 22.514387 ÷ 989 =
  23. 23.69652 ÷ 89 =
  24. 24.6077 ÷ 97 =
  25. 25.62772 ÷ 96 =
  26. 26.89922 ÷ 89 =
  27. 27.53891 ÷ 88 =
  28. 28.412046 ÷ 997 =
  29. 29.6036 ÷ 98 =
  30. 30.246955 ÷ 997 =
  31. 31.56679 ÷ 98 =
  32. 32.96053 ÷ 96 =
  33. 33.299780 ÷ 989 =
  34. 34.29422 ÷ 98 =
  35. 35.23150 ÷ 988 =
  36. 36.62333 ÷ 88 =
  37. 37.67312 ÷ 98 =
  38. 38.434103 ÷ 997 =
  39. 39.8237 ÷ 8 =
  40. 40.860122 ÷ 897 =

Answer key

  1. 413 rem 87
  2. 186 rem 117
  3. 964 rem 12
  4. 248 rem 445
  5. 544 rem 8
  6. 14 rem 1
  7. 305 rem 262
  8. 326 rem 575
  9. 104 rem 7
  10. 685 rem 953
  11. 516 rem 4
  12. 572 rem 6
  13. 177 rem 62
  14. 317 rem 69
  15. 96 rem 671
  16. 281 rem 61
  17. 996 rem 77
  18. 452 rem 32
  19. 878 rem 537
  20. 23 rem 63
  21. 401 rem 56
  22. 520 rem 107
  23. 782 rem 54
  24. 62 rem 63
  25. 653 rem 84
  26. 1010 rem 32
  27. 612 rem 35
  28. 413 rem 285
  29. 61 rem 58
  30. 247 rem 696
  31. 578 rem 35
  32. 1000 rem 53
  33. 303 rem 113
  34. 300 rem 22
  35. 23 rem 426
  36. 708 rem 29
  37. 686 rem 84
  38. 435 rem 408
  39. 1029 rem 5
  40. 958 rem 796

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