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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 915 · 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. 1.988378 ÷ 998 =
  2. 2.194785 ÷ 997 =
  3. 3.27471 ÷ 96 =
  4. 4.43672 ÷ 997 =
  5. 5.296382 ÷ 897 =
  6. 6.608993 ÷ 897 =
  7. 7.962408 ÷ 897 =
  8. 8.664580 ÷ 989 =
  9. 9.21080 ÷ 89 =
  10. 10.588383 ÷ 897 =
  11. 11.23789 ÷ 97 =
  12. 12.24801 ÷ 88 =
  13. 13.83816 ÷ 96 =
  14. 14.163050 ÷ 897 =
  15. 15.486260 ÷ 897 =
  16. 16.16426 ÷ 98 =
  17. 17.80166 ÷ 98 =
  18. 18.72562 ÷ 97 =
  19. 19.876777 ÷ 988 =
  20. 20.23771 ÷ 98 =
  21. 21.677840 ÷ 897 =
  22. 22.45562 ÷ 98 =
  23. 23.4010 ÷ 89 =
  24. 24.87166 ÷ 998 =
  25. 25.283436 ÷ 989 =
  26. 26.69154 ÷ 89 =
  27. 27.54987 ÷ 96 =
  28. 28.17966 ÷ 97 =
  29. 29.26402 ÷ 97 =
  30. 30.6863 ÷ 98 =
  31. 31.1719 ÷ 8 =
  32. 32.397053 ÷ 989 =
  33. 33.27998 ÷ 989 =
  34. 34.91874 ÷ 97 =
  35. 35.27906 ÷ 89 =
  36. 36.1904 ÷ 8 =
  37. 37.50149 ÷ 96 =
  38. 38.1469 ÷ 8 =
  39. 39.34240 ÷ 989 =
  40. 40.77854 ÷ 89 =

Answer key

  1. 990 rem 358
  2. 195 rem 370
  3. 286 rem 15
  4. 43 rem 801
  5. 330 rem 372
  6. 678 rem 827
  7. 1072 rem 824
  8. 671 rem 961
  9. 236 rem 76
  10. 655 rem 848
  11. 245 rem 24
  12. 281 rem 73
  13. 873 rem 8
  14. 181 rem 693
  15. 542 rem 86
  16. 167 rem 60
  17. 818 rem 2
  18. 748 rem 6
  19. 887 rem 421
  20. 242 rem 55
  21. 755 rem 605
  22. 464 rem 90
  23. 45 rem 5
  24. 87 rem 340
  25. 286 rem 582
  26. 777 rem 1
  27. 572 rem 75
  28. 185 rem 21
  29. 272 rem 18
  30. 70 rem 3
  31. 214 rem 7
  32. 401 rem 464
  33. 28 rem 306
  34. 947 rem 15
  35. 313 rem 49
  36. 238 rem 0
  37. 522 rem 37
  38. 183 rem 5
  39. 34 rem 614
  40. 874 rem 68

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