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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 818 · 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. 1.3124 ÷ 8 =
  2. 2.159 ÷ 8 =
  3. 3.21489 ÷ 97 =
  4. 4.41978 ÷ 998 =
  5. 5.674503 ÷ 997 =
  6. 6.162135 ÷ 988 =
  7. 7.594102 ÷ 997 =
  8. 8.70094 ÷ 97 =
  9. 9.736581 ÷ 997 =
  10. 10.69831 ÷ 96 =
  11. 11.28436 ÷ 89 =
  12. 12.19283 ÷ 96 =
  13. 13.462749 ÷ 997 =
  14. 14.90033 ÷ 97 =
  15. 15.495596 ÷ 988 =
  16. 16.404263 ÷ 988 =
  17. 17.61130 ÷ 96 =
  18. 18.35539 ÷ 96 =
  19. 19.101571 ÷ 988 =
  20. 20.77616 ÷ 988 =
  21. 21.60065 ÷ 98 =
  22. 22.691935 ÷ 998 =
  23. 23.54935 ÷ 97 =
  24. 24.50812 ÷ 98 =
  25. 25.93365 ÷ 96 =
  26. 26.914876 ÷ 997 =
  27. 27.24397 ÷ 98 =
  28. 28.1485 ÷ 98 =
  29. 29.526839 ÷ 897 =
  30. 30.2150 ÷ 8 =
  31. 31.70948 ÷ 89 =
  32. 32.968979 ÷ 997 =
  33. 33.587440 ÷ 989 =
  34. 34.22339 ÷ 96 =
  35. 35.271492 ÷ 997 =
  36. 36.68759 ÷ 89 =
  37. 37.15729 ÷ 897 =
  38. 38.438892 ÷ 897 =
  39. 39.742857 ÷ 998 =
  40. 40.720705 ÷ 998 =

Answer key

  1. 390 rem 4
  2. 19 rem 7
  3. 221 rem 52
  4. 42 rem 62
  5. 676 rem 531
  6. 164 rem 103
  7. 595 rem 887
  8. 722 rem 60
  9. 738 rem 795
  10. 727 rem 39
  11. 319 rem 45
  12. 200 rem 83
  13. 464 rem 141
  14. 928 rem 17
  15. 501 rem 608
  16. 409 rem 171
  17. 636 rem 74
  18. 370 rem 19
  19. 102 rem 795
  20. 78 rem 552
  21. 612 rem 89
  22. 693 rem 321
  23. 566 rem 33
  24. 518 rem 48
  25. 972 rem 53
  26. 917 rem 627
  27. 248 rem 93
  28. 15 rem 15
  29. 587 rem 300
  30. 268 rem 6
  31. 797 rem 15
  32. 971 rem 892
  33. 593 rem 963
  34. 232 rem 67
  35. 272 rem 308
  36. 772 rem 51
  37. 17 rem 480
  38. 489 rem 259
  39. 744 rem 345
  40. 722 rem 149

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