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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 138 · 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. 1.36953 ÷ 97 =
  2. 2.747073 ÷ 989 =
  3. 3.51528 ÷ 97 =
  4. 4.6533 ÷ 8 =
  5. 5.50077 ÷ 96 =
  6. 6.2667 ÷ 8 =
  7. 7.440120 ÷ 997 =
  8. 8.20091 ÷ 89 =
  9. 9.663940 ÷ 997 =
  10. 10.16624 ÷ 89 =
  11. 11.27334 ÷ 98 =
  12. 12.859554 ÷ 988 =
  13. 13.676422 ÷ 988 =
  14. 14.62235 ÷ 989 =
  15. 15.29793 ÷ 98 =
  16. 16.1140 ÷ 8 =
  17. 17.22328 ÷ 88 =
  18. 18.339120 ÷ 998 =
  19. 19.17270 ÷ 98 =
  20. 20.79204 ÷ 89 =
  21. 21.2998 ÷ 89 =
  22. 22.5602 ÷ 8 =
  23. 23.6551 ÷ 8 =
  24. 24.4257 ÷ 96 =
  25. 25.157860 ÷ 989 =
  26. 26.59427 ÷ 88 =
  27. 27.13468 ÷ 989 =
  28. 28.970399 ÷ 997 =
  29. 29.21279 ÷ 96 =
  30. 30.770792 ÷ 998 =
  31. 31.939535 ÷ 988 =
  32. 32.8330 ÷ 98 =
  33. 33.303286 ÷ 988 =
  34. 34.35215 ÷ 97 =
  35. 35.433787 ÷ 989 =
  36. 36.18252 ÷ 98 =
  37. 37.61694 ÷ 88 =
  38. 38.72636 ÷ 88 =
  39. 39.97046 ÷ 97 =
  40. 40.6233 ÷ 8 =

Answer key

  1. 380 rem 93
  2. 755 rem 378
  3. 531 rem 21
  4. 816 rem 5
  5. 521 rem 61
  6. 333 rem 3
  7. 441 rem 443
  8. 225 rem 66
  9. 665 rem 935
  10. 186 rem 70
  11. 278 rem 90
  12. 869 rem 982
  13. 684 rem 630
  14. 62 rem 917
  15. 304 rem 1
  16. 142 rem 4
  17. 253 rem 64
  18. 339 rem 798
  19. 176 rem 22
  20. 889 rem 83
  21. 33 rem 61
  22. 700 rem 2
  23. 818 rem 7
  24. 44 rem 33
  25. 159 rem 609
  26. 675 rem 27
  27. 13 rem 611
  28. 973 rem 318
  29. 221 rem 63
  30. 772 rem 336
  31. 950 rem 935
  32. 85 rem 0
  33. 306 rem 958
  34. 363 rem 4
  35. 438 rem 605
  36. 186 rem 24
  37. 701 rem 6
  38. 825 rem 36
  39. 1000 rem 46
  40. 779 rem 1

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