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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 843 · 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. 1.415693 ÷ 989 =
  2. 2.10664 ÷ 98 =
  3. 3.372613 ÷ 997 =
  4. 4.2348 ÷ 8 =
  5. 5.184513 ÷ 897 =
  6. 6.21096 ÷ 997 =
  7. 7.6759 ÷ 8 =
  8. 8.529101 ÷ 998 =
  9. 9.43900 ÷ 98 =
  10. 10.88875 ÷ 98 =
  11. 11.294701 ÷ 997 =
  12. 12.45838 ÷ 97 =
  13. 13.609198 ÷ 988 =
  14. 14.74946 ÷ 88 =
  15. 15.192172 ÷ 897 =
  16. 16.530620 ÷ 989 =
  17. 17.80464 ÷ 96 =
  18. 18.2442 ÷ 8 =
  19. 19.94814 ÷ 97 =
  20. 20.94650 ÷ 88 =
  21. 21.686873 ÷ 989 =
  22. 22.88529 ÷ 89 =
  23. 23.55291 ÷ 96 =
  24. 24.11376 ÷ 88 =
  25. 25.70427 ÷ 89 =
  26. 26.4204 ÷ 97 =
  27. 27.935978 ÷ 997 =
  28. 28.1382 ÷ 8 =
  29. 29.136526 ÷ 988 =
  30. 30.9257 ÷ 97 =
  31. 31.78732 ÷ 96 =
  32. 32.802916 ÷ 897 =
  33. 33.6705 ÷ 8 =
  34. 34.7227 ÷ 8 =
  35. 35.4351 ÷ 8 =
  36. 36.1971 ÷ 8 =
  37. 37.62950 ÷ 96 =
  38. 38.4842 ÷ 89 =
  39. 39.260967 ÷ 897 =
  40. 40.475190 ÷ 988 =

Answer key

  1. 420 rem 313
  2. 108 rem 80
  3. 373 rem 732
  4. 293 rem 4
  5. 205 rem 628
  6. 21 rem 159
  7. 844 rem 7
  8. 530 rem 161
  9. 447 rem 94
  10. 906 rem 87
  11. 295 rem 586
  12. 472 rem 54
  13. 616 rem 590
  14. 851 rem 58
  15. 214 rem 214
  16. 536 rem 516
  17. 838 rem 16
  18. 305 rem 2
  19. 977 rem 45
  20. 1075 rem 50
  21. 694 rem 507
  22. 994 rem 63
  23. 575 rem 91
  24. 129 rem 24
  25. 791 rem 28
  26. 43 rem 33
  27. 938 rem 792
  28. 172 rem 6
  29. 138 rem 182
  30. 95 rem 42
  31. 820 rem 12
  32. 895 rem 101
  33. 838 rem 1
  34. 903 rem 3
  35. 543 rem 7
  36. 246 rem 3
  37. 655 rem 70
  38. 54 rem 36
  39. 290 rem 837
  40. 480 rem 950

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