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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 250 · 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. 1.34152 ÷ 997 =
  2. 2.20274 ÷ 97 =
  3. 3.54349 ÷ 98 =
  4. 4.569403 ÷ 988 =
  5. 5.22337 ÷ 89 =
  6. 6.40137 ÷ 96 =
  7. 7.205085 ÷ 897 =
  8. 8.9889 ÷ 8 =
  9. 9.69158 ÷ 89 =
  10. 10.686401 ÷ 998 =
  11. 11.69186 ÷ 89 =
  12. 12.745094 ÷ 997 =
  13. 13.129081 ÷ 988 =
  14. 14.95092 ÷ 88 =
  15. 15.2802 ÷ 8 =
  16. 16.857139 ÷ 988 =
  17. 17.87476 ÷ 98 =
  18. 18.623413 ÷ 997 =
  19. 19.43202 ÷ 88 =
  20. 20.58447 ÷ 97 =
  21. 21.435313 ÷ 988 =
  22. 22.18458 ÷ 97 =
  23. 23.135318 ÷ 997 =
  24. 24.61027 ÷ 89 =
  25. 25.217038 ÷ 997 =
  26. 26.3409 ÷ 8 =
  27. 27.929669 ÷ 988 =
  28. 28.79413 ÷ 96 =
  29. 29.26631 ÷ 98 =
  30. 30.722831 ÷ 997 =
  31. 31.707638 ÷ 989 =
  32. 32.8031 ÷ 8 =
  33. 33.58727 ÷ 997 =
  34. 34.53245 ÷ 89 =
  35. 35.793516 ÷ 989 =
  36. 36.117096 ÷ 998 =
  37. 37.71854 ÷ 98 =
  38. 38.710293 ÷ 997 =
  39. 39.20675 ÷ 97 =
  40. 40.2860 ÷ 8 =

Answer key

  1. 34 rem 254
  2. 209 rem 1
  3. 554 rem 57
  4. 576 rem 315
  5. 250 rem 87
  6. 418 rem 9
  7. 228 rem 569
  8. 1236 rem 1
  9. 777 rem 5
  10. 687 rem 775
  11. 777 rem 33
  12. 747 rem 335
  13. 130 rem 641
  14. 1080 rem 52
  15. 350 rem 2
  16. 867 rem 543
  17. 892 rem 60
  18. 625 rem 288
  19. 490 rem 82
  20. 602 rem 53
  21. 440 rem 593
  22. 190 rem 28
  23. 135 rem 723
  24. 685 rem 62
  25. 217 rem 689
  26. 426 rem 1
  27. 940 rem 949
  28. 827 rem 21
  29. 271 rem 73
  30. 725 rem 6
  31. 715 rem 503
  32. 1003 rem 7
  33. 58 rem 901
  34. 598 rem 23
  35. 802 rem 338
  36. 117 rem 330
  37. 733 rem 20
  38. 712 rem 429
  39. 213 rem 14
  40. 357 rem 4

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